Задание 6, стр 60

Question

Угол между плоскостью треугольника ABC и плоскостью $\alpha$ равен 30°. Найдите площадь ортогональной проекции треугольника A1BC на плоскость $\alpha$, если BC = 12 см, $AA_1\perp \alpha$ и $AA_1 = 8$ см.

Gimli · Accepted Answer

ikzset{every picture/.style={line width=0.75pt}} %set default line width to 0.75pt        
\begin{figure}[H]\centering
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
%uncomment if require: \path (0,300); %set diagram left start at 0, and has height of 300

%Shape: Free Drawing [id:dp28100753792053157] 
\draw  [line width=1.5] [line join = round][line cap = round] (203.84,227.22) .. controls (198.87,227.22) and (202.75,232.77) .. (203.84,230.33) .. controls (204.43,229.02) and (201.98,226.18) .. (201.05,227.22) .. controls (200.12,228.26) and (203.25,231.64) .. (203.84,230.33) .. controls (204.67,228.48) and (203.53,226.15) .. (203.84,224.11) .. controls (205.09,215.72) and (212.77,206.05) .. (215,196.1) .. controls (218.91,178.69) and (224.38,153.4) .. (231.75,136.97) .. controls (232.94,134.33) and (237.42,115.19) .. (238.72,115.19) .. controls (239.38,115.19) and (239.65,116.23) .. (240.12,116.75) .. controls (242.52,119.43) and (240.12,113.64) .. (240.12,113.64) .. controls (240.12,113.64) and (238.22,116.47) .. (238.72,116.75) .. controls (239.27,117.05) and (242.91,117.27) .. (242.91,115.19) .. controls (242.91,114.03) and (240.12,115.59) .. (240.12,116.75) ;
%Shape: Free Drawing [id:dp03675953738477322] 
\draw  [line width=1.5] [line join = round][line cap = round] (245.7,112.08) .. controls (244.77,112.08) and (243.84,112.08) .. (242.91,112.08) ;
%Shape: Free Drawing [id:dp49056457999403924] 
\draw  [line width=1.5] [line join = round][line cap = round] (240.12,124.53) .. controls (240.12,124.53) and (240.12,124.53) .. (240.12,124.53) ;
%Shape: Free Drawing [id:dp9959880194601143] 
\draw  [line width=1.5] [line join = round][line cap = round] (242.91,112.08) .. controls (241.87,112.08) and (266.53,112.54) .. (276.4,112.08) .. controls (295.24,111.2) and (317.63,109.27) .. (336.4,108.97) .. controls (367.1,108.47) and (397.8,109.47) .. (428.5,108.97) .. controls (429.32,108.95) and (438.56,103.98) .. (434.08,108.97) ;
%Shape: Free Drawing [id:dp60616855205575] 
\draw  [line width=1.5] [line join = round][line cap = round] (397.8,227.22) .. controls (397.78,227.22) and (405.93,206.27) .. (407.57,200.77) .. controls (413.63,180.5) and (419.62,154.74) .. (427.11,133.86) .. controls (431.83,120.69) and (434.36,115.83) .. (438.27,102.74) .. controls (438.6,101.64) and (437.61,105.04) .. (436.87,105.86) ;
%Shape: Free Drawing [id:dp882217202824207] 
\draw  [line width=1.5] [line join = round][line cap = round] (203.84,227.22) .. controls (203.84,239.75) and (242.23,229.99) .. (249.89,228.78) .. controls (277,224.46) and (308.89,227.38) .. (335.01,225.66) .. controls (350.61,224.64) and (376.54,223.44) .. (390.82,224.11) .. controls (393.82,224.25) and (403.73,227.6) .. (400.59,224.11) ;
%Shape: Free Drawing [id:dp345715690668585] 
\draw  [line width=1.5] [line join = round][line cap = round] (202.44,230.33) .. controls (202.44,226.66) and (208.95,229.23) .. (212.21,228.78) .. controls (227.45,226.65) and (242.9,227.22) .. (258.26,227.22) ;
%Shape: Free Drawing [id:dp7549658338741054] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (306,211.67) .. controls (304.67,211.67) and (304.67,211.67) .. (306,211.67) ;
%Shape: Free Drawing [id:dp21501372358172377] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (206.63,228.78) .. controls (206.63,228.78) and (206.63,228.78) .. (206.63,228.78) ;
%Shape: Free Drawing [id:dp41274414140224924] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (218.26,239.67) .. controls (218.26,236.39) and (223.69,236.55) .. (226.63,236.55) .. controls (229.46,236.55) and (215.43,235) .. (218.26,235) .. controls (221.51,235) and (224.8,235.45) .. (228.03,235) .. controls (229.06,234.86) and (230.82,232.28) .. (230.82,233.44) .. controls (230.82,238.36) and (222.43,233.6) .. (221.05,233.44) .. controls (216.88,232.98) and (212.65,232.93) .. (208.49,233.44) .. controls (207.84,233.52) and (207.1,235.73) .. (207.1,235) .. controls (207.1,225.82) and (232.55,233.63) .. (235,235) .. controls (235.93,235.52) and (236.86,233.96) .. (237.79,233.44) .. controls (238.63,232.98) and (241.52,233.44) .. (240.59,233.44) .. controls (236.86,233.44) and (233.14,233.44) .. (229.42,233.44) .. controls (226.13,233.44) and (236,232.78) .. (239.19,231.89) .. controls (240.54,231.51) and (244.77,231.89) .. (243.38,231.89) .. controls (238.7,231.89) and (234.07,232.92) .. (229.42,233.44) .. controls (224.79,233.96) and (220.1,232.97) .. (215.47,233.44) .. controls (214.43,233.55) and (211.64,235) .. (212.68,235) .. controls (216.43,235) and (219.45,235.17) .. (218.26,235) .. controls (214.57,234.48) and (210.79,235.51) .. (207.1,235) .. controls (206.44,234.91) and (205.04,233.44) .. (205.7,233.44) .. controls (219.2,233.44) and (232.67,231.89) .. (246.17,231.89) .. controls (246.22,231.89) and (236.35,231.83) .. (237.79,233.44) .. controls (240.12,236.03) and (248.96,225) .. (248.96,231.89) ;
%Shape: Free Drawing [id:dp00806282353084542] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (246.17,235) .. controls (252.06,228.42) and (231.87,233.44) .. (229.42,233.44) ;
%Shape: Free Drawing [id:dp5721209058383827] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (243.38,121.42) .. controls (239.83,121.42) and (240.59,126.67) .. (240.59,130.75) .. controls (240.59,133.07) and (243.38,126.85) .. (243.38,124.53) .. controls (243.38,121.93) and (239.08,127.04) .. (237.79,129.2) .. controls (236.56,131.25) and (240.59,132.39) .. (240.59,129.2) ;
%Shape: Free Drawing [id:dp5772958617385221] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (243.38,122.97) .. controls (235.77,122.97) and (237.79,132.59) .. (237.79,138.53) ;
%Shape: Free Drawing [id:dp5451792177410196] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (237.79,136.97) .. controls (234,136.97) and (232.21,144.56) .. (232.21,149.42) ;
%Shape: Free Drawing [id:dp2804305356362168] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (235,138.53) .. controls (231.22,142.75) and (232.14,146.64) .. (230.82,152.53) ;
%Shape: Free Drawing [id:dp7174558287288847] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (233.33,234.33) .. controls (230.74,234.33) and (232.91,232.76) .. (233.33,232.33) .. controls (235.87,229.8) and (243.19,230.33) .. (247.33,230.33) .. controls (249.36,230.33) and (243.33,229) .. (241.33,229.33) .. controls (239.98,229.56) and (236.68,230.11) .. (235.33,230.33) .. controls (234.18,230.52) and (231.53,232.24) .. (231.33,232.33) .. controls (231.21,232.4) and (221.33,229.62) .. (221.33,234.33) ;
%Shape: Free Drawing [id:dp7830444010107583] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (243.33,110.67) .. controls (243.33,111.81) and (240.1,112.67) .. (239.33,112.67) ;
%Shape: Free Drawing [id:dp5228461036730777] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (360.33,65.67) .. controls (363.96,65.67) and (357.22,65.61) .. (359.33,66.67) .. controls (361.11,67.56) and (362.22,66.44) .. (361.33,64.67) .. controls (361,64) and (359.33,64.92) .. (359.33,65.67) .. controls (359.33,66.58) and (362.16,63.67) .. (359.33,63.67) .. controls (359,63.67) and (359.33,64.33) .. (359.33,64.67) ;
%Shape: Free Drawing [id:dp6554891595052872] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (371.33,45.67) .. controls (371.33,44.83) and (369.33,57.6) .. (369.33,59.67) ;
%Shape: Free Drawing [id:dp5539215569223231] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (369.33,43.67) .. controls (378.19,43.67) and (377.33,52.85) .. (377.33,59.67) ;
%Shape: Free Drawing [id:dp15672542617215035] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (370.33,53.67) .. controls (372,53.67) and (373.67,53.67) .. (375.33,53.67) ;
%Shape: Free Drawing [id:dp6365786325669994] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (238.33,112.67) .. controls (238.33,112.67) and (238.33,112.67) .. (238.33,112.67) ;
%Shape: Free Drawing [id:dp8756676620762724] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (240.33,111.67) .. controls (240.33,111.67) and (240.33,111.67) .. (240.33,111.67) ;
%Shape: Free Drawing [id:dp27214971170657376] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (205.33,227.67) .. controls (207.04,229.38) and (214.65,220.97) .. (217.33,218.67) .. controls (225.56,211.62) and (231.58,201.42) .. (239.33,193.67) .. controls (256.91,176.09) and (275.11,156.87) .. (292.33,137.67) .. controls (297.25,132.18) and (304.2,120.8) .. (310.33,114.67) .. controls (315.51,109.49) and (322.81,103.69) .. (327.33,97.67) .. controls (334.51,88.1) and (343.19,81.81) .. (351.33,73.67) .. controls (353.19,71.81) and (353.62,67.67) .. (357.33,67.67) ;
%Shape: Free Drawing [id:dp19354704366301145] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (357.33,65.67) .. controls (348.16,65.67) and (364.94,67.54) .. (359.33,65.67) .. controls (358.03,65.23) and (355.33,65.29) .. (355.33,66.67) .. controls (355.33,68.04) and (361.16,68.14) .. (360.33,65.67) .. controls (359.04,61.79) and (357.08,64.92) .. (356.33,65.67) .. controls (354.48,67.52) and (361.06,69.85) .. (360.33,67.67) .. controls (359.26,64.45) and (354.11,65) .. (355.33,68.67) .. controls (356.11,71) and (361.48,69.97) .. (360.33,67.67) .. controls (358.8,64.59) and (356.33,67.78) .. (356.33,69.67) ;
%Shape: Free Drawing [id:dp7822789705920873] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (185.33,233.67) .. controls (188.36,233.67) and (187.84,231.67) .. (185.33,231.67) .. controls (183.26,231.67) and (178.73,246.47) .. (182.33,247.67) .. controls (190.82,250.49) and (192.7,240.94) .. (195.33,235.67) ;
%Shape: Free Drawing [id:dp8935094183606458] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (213.33,88.67) .. controls (213.33,93.36) and (216.33,97.96) .. (216.33,102.67) .. controls (216.33,104.61) and (214.3,99.35) .. (213.33,97.67) .. controls (211.54,94.53) and (212.64,88.01) .. (215.33,86.67) .. controls (221.04,83.81) and (216.33,95.67) .. (216.33,95.67) .. controls (216.33,95.67) and (217.83,92.16) .. (222.33,93.67) .. controls (224.67,94.45) and (222.8,95.6) .. (223.33,96.67) .. controls (225.43,100.85) and (219.05,101.67) .. (215.33,101.67) ;
%Shape: Free Drawing [id:dp8243543996093564] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (357.33,65.67) .. controls (357.33,95.19) and (361.9,122.56) .. (358.33,154.67) .. controls (358.04,157.29) and (359.83,167.17) .. (359.33,167.67) .. controls (358.67,168.33) and (358.18,166.09) .. (357.33,165.67) .. controls (356.74,165.37) and (357.97,163.88) .. (357.33,163.67) .. controls (356.38,163.35) and (355.28,163.35) .. (354.33,163.67) .. controls (351.93,164.47) and (355.17,168.25) .. (356.33,167.67) .. controls (358.22,166.72) and (357.07,163.8) .. (355.33,164.67) .. controls (352.56,166.05) and (355.94,169.06) .. (357.33,167.67) .. controls (357.61,167.39) and (357.59,163.15) .. (355.33,167.67) ;
%Shape: Free Drawing [id:dp25311755135007685] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (352.08,166.42) .. controls (352.08,164.64) and (359.08,165.3) .. (359.08,162.42) ;
%Shape: Free Drawing [id:dp14914837515349277] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (366.08,170.42) .. controls (366.08,168.72) and (365.5,173.77) .. (365.08,175.42) .. controls (364.11,179.32) and (360.08,182.39) .. (360.08,186.42) .. controls (360.08,188.77) and (360.87,181.76) .. (361.08,179.42) .. controls (361.29,177.16) and (364.33,170.82) .. (366.08,169.42) .. controls (371.43,165.14) and (374.08,182.57) .. (374.08,186.42) ;
%Shape: Free Drawing [id:dp31422759274065026] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (362.08,181.42) .. controls (366.4,181.42) and (368.9,179.42) .. (373.08,179.42) ;
%Shape: Free Drawing [id:dp033462446896943] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (381.08,187.42) .. controls (383.54,183.74) and (382.66,181.68) .. (382.08,183.42) .. controls (380.85,187.1) and (389.27,194.03) .. (386.08,196.42) .. controls (379.92,201.04) and (383.43,194.42) .. (391.08,194.42) ;
%Shape: Free Drawing [id:dp8272288363427514] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (344.08,157.42) .. controls (344.08,154.88) and (349.08,145.42) .. (349.08,145.42) .. controls (349.08,145.42) and (358.56,148.42) .. (357.08,148.42) ;
%Shape: Free Drawing [id:dp8944756339879534] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (339.08,164.42) .. controls (336.73,164.42) and (340.77,167.47) .. (342.08,171.42) .. controls (342.32,172.12) and (343.08,173.42) .. (343.08,173.42) .. controls (343.08,173.42) and (337.6,164.23) .. (338.08,163.42) .. controls (338.45,162.81) and (355.42,154.42) .. (356.08,154.42) ;
%Shape: Free Drawing [id:dp8710625623071014] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (221.08,169.42) .. controls (219.37,169.42) and (220.31,166.19) .. (219.08,167.42) .. controls (218.75,167.75) and (219.87,168.84) .. (220.08,168.42) .. controls (220.42,167.75) and (219.32,165.71) .. (219.08,166.42) .. controls (218.81,167.25) and (219.95,172.55) .. (222.08,170.42) .. controls (223.46,169.04) and (219.55,163.53) .. (219.08,165.42) .. controls (218.68,167.03) and (218.76,168.78) .. (219.08,170.42) .. controls (219.54,172.69) and (224.9,169.33) .. (223.08,168.42) .. controls (216.76,165.25) and (221.08,171.42) .. (221.08,171.42) .. controls (221.08,171.42) and (226.22,165.42) .. (221.08,165.42) .. controls (217.17,165.42) and (219.26,169.6) .. (220.08,170.42) ;
%Straight Lines [id:da4366090821896339] 
\draw [line width=1.5]    (355.08,68.42) -- (222.08,167.42) ;
%Straight Lines [id:da8780612332086267] 
\draw [line width=1.5]  [dash pattern={on 5.63pt off 4.5pt}]  (241.08,114.42) -- (357,166) ;
%Straight Lines [id:da7632854138042706] 
\draw [line width=1.5]  [dash pattern={on 5.63pt off 4.5pt}]  (357,166) -- (205,228) ;
%Straight Lines [id:da6388638464246509] 
\draw [line width=1.5]    (359.08,64.42) -- (233,116.08) ;
%Shape: Free Drawing [id:dp9294461623984559] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (433.08,100.42) .. controls (433.08,98.13) and (438.13,106.42) .. (439.08,106.42) .. controls (441.77,106.42) and (436.98,101.32) .. (435.08,99.42) .. controls (434.56,98.89) and (432.7,97.78) .. (433.08,98.42) .. controls (434.56,100.88) and (435.22,105.42) .. (438.08,105.42) .. controls (440.69,105.42) and (435.06,101.11) .. (433.08,99.42) .. controls (432.37,98.8) and (430.24,97) .. (431.08,97.42) .. controls (434.3,99.02) and (438.29,100.63) .. (441.08,103.42) ;
%Shape: Free Drawing [id:dp5726161674830176] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (225.08,154.42) .. controls (223.5,154.42) and (233.4,147.78) .. (234.08,146.42) .. controls (234.21,146.16) and (235.39,144.73) .. (236.08,145.42) .. controls (237.86,147.19) and (238.08,151.36) .. (238.08,153.42) ;
%Shape: Free Drawing [id:dp5021711995317086] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (252.08,244.42) .. controls (251.75,244.42) and (251.42,244.42) .. (251.08,244.42) ;
%Shape: Free Drawing [id:dp26808234350927873] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (248.67,230.5) .. controls (245.1,230.5) and (251.19,229.5) .. (252.67,229.5) .. controls (254.04,229.5) and (249.97,230.93) .. (248.67,230.5) .. controls (248.17,230.34) and (245.93,229.24) .. (245.67,229.5) .. controls (245.43,229.74) and (244.34,229.54) .. (244.67,229.5) .. controls (247.33,229.17) and (252.67,230.5) .. (252.67,230.5) .. controls (252.67,230.5) and (254.22,229.5) .. (256.67,229.5) ;
%Shape: Free Drawing [id:dp6012427750515407] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (209.67,234.5) .. controls (207.86,234.5) and (206.67,231.5) .. (206.67,231.5) .. controls (206.67,231.5) and (205.06,235.11) .. (206.67,233.5) .. controls (206.9,233.26) and (206.82,232.8) .. (206.67,232.5) .. controls (206.67,232.5) and (206.67,232.5) .. (206.67,232.5) .. controls (206.2,232.5) and (206.12,233.39) .. (205.67,233.5) .. controls (203.5,234.04) and (201.9,230.5) .. (199.67,230.5) ;
%Shape: Free Drawing [id:dp6398571903065009] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (201.67,233.5) .. controls (199.77,233.5) and (199.67,225.5) .. (199.67,225.5) .. controls (199.67,225.5) and (199.67,228.83) .. (199.67,230.5) .. controls (199.67,231.87) and (200.67,227.87) .. (200.67,226.5) .. controls (200.67,226.17) and (200.82,227.2) .. (200.67,227.5) .. controls (200.35,228.14) and (200.73,232.5) .. (202.67,232.5) ;
%Shape: Free Drawing [id:dp7954244105973316] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (401.67,225.5) .. controls (401.67,224.83) and (401.67,223.5) .. (401.67,223.5) .. controls (401.67,223.5) and (399.43,229.2) .. (399.67,228.5) .. controls (400.28,226.66) and (402.67,221.56) .. (402.67,223.5) .. controls (402.67,225.26) and (401.67,233.74) .. (401.67,227.5) ;
%Shape: Free Drawing [id:dp019412974747797573] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (396.67,228.5) .. controls (396.67,229.17) and (399.33,228.5) .. (398.67,228.5) .. controls (397.29,228.5) and (394.67,228.13) .. (394.67,229.5) ;
%Shape: Free Drawing [id:dp8408900539480564] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (241.25,118.42) .. controls (237.41,118.42) and (243.25,118.42) .. (243.25,118.42) .. controls (243.25,118.42) and (241.25,116.42) .. (241.25,116.42) .. controls (241.25,116.42) and (242.01,116.18) .. (242.25,116.42) .. controls (244.27,118.43) and (242.13,116.42) .. (241.25,116.42) ;
%Shape: Free Drawing [id:dp7342259384901078] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (247.25,114.42) .. controls (245.55,114.42) and (243.95,113.42) .. (242.25,113.42) ;
%Shape: Free Drawing [id:dp4366696322015934] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (239.25,117.42) .. controls (239.25,117.08) and (239.25,116.75) .. (239.25,116.42) ;
%Shape: Free Drawing [id:dp5662873551941674] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (230,118.08) .. controls (230,116.98) and (232.8,114.08) .. (233,113.08) .. controls (233.33,111.45) and (233,106.42) .. (233,108.08) .. controls (233,111.75) and (233,115.42) .. (233,119.08) .. controls (233,119.75) and (232.7,117.68) .. (233,117.08) .. controls (233.42,116.24) and (234.58,115.93) .. (235,115.08) .. controls (236.23,112.62) and (236,111.22) .. (236,107.08) ;
%Shape: Free Drawing [id:dp1876364341786606] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (407.25,231.08) .. controls (405.88,231.08) and (397.85,245.88) .. (397.25,247.08) .. controls (397.04,247.5) and (396.7,248.23) .. (396.25,248.08) .. controls (393.57,247.19) and (391.71,239.57) .. (396.25,241.08) .. controls (400.31,242.44) and (405.96,249.39) .. (411.25,246.08) .. controls (413.04,244.97) and (412.31,241.97) .. (413.25,240.08) .. controls (419.36,227.87) and (394.25,226.41) .. (394.25,235.08) ;
%Shape: Free Drawing [id:dp9892992184424033] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (211.25,154.08) .. controls (200.59,154.08) and (202.24,166.06) .. (205.25,175.08) .. controls (205.67,176.35) and (212.45,173.08) .. (213.25,173.08) ;
%Shape: Free Drawing [id:dp7833806021745637] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (202.25,163.08) .. controls (204.92,163.08) and (207.58,163.08) .. (210.25,163.08) ;
%Shape: Free Drawing [id:dp24521354738079892] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (265.25,111.08) .. controls (264.66,110.49) and (259.69,110.2) .. (259.25,111.08) .. controls (258.41,112.76) and (261.55,114.18) .. (262.25,112.08) .. controls (263.74,107.61) and (258.45,111.29) .. (260.25,113.08) .. controls (261.49,114.33) and (264.25,110.08) .. (264.25,110.08) .. controls (264.25,110.08) and (262.25,111.75) .. (262.25,113.08) ;
%Shape: Free Drawing [id:dp7616308695648627] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (265.25,109.08) .. controls (265.25,110.75) and (265.25,114.08) .. (265.25,114.08) .. controls (265.25,114.08) and (266.92,109.08) .. (265.25,109.08) .. controls (263.55,109.08) and (264.25,112.38) .. (264.25,114.08) .. controls (264.25,115.35) and (268.35,110.08) .. (267.25,110.08) .. controls (265.78,110.08) and (266.25,112.69) .. (266.25,113.08) ;
%Shape: Free Drawing [id:dp5631350112614268] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (281.25,109.08) .. controls (281.7,109.08) and (285.41,107.75) .. (283.25,112.08) .. controls (283.1,112.38) and (283.25,113.42) .. (283.25,113.08) .. controls (283.25,111.38) and (283.05,106.88) .. (284.25,108.08) .. controls (285.78,109.61) and (282.07,111.9) .. (283.25,113.08) .. controls (284.62,114.46) and (286.25,106.14) .. (286.25,108.08) .. controls (286.25,109.42) and (286.25,112.08) .. (286.25,112.08) .. controls (286.25,112.08) and (286.25,105.67) .. (286.25,109.08) ;
%Shape: Free Drawing [id:dp8635686332000131] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (302.25,109.08) .. controls (301.16,109.08) and (300.55,111.78) .. (299.25,113.08) ;
%Shape: Free Drawing [id:dp31757447413193896] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (302.25,109.08) .. controls (302.25,111.52) and (300.25,112.07) .. (299.25,114.08) ;
%Shape: Free Drawing [id:dp2102847408924332] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (319.25,109.08) .. controls (319.25,110.42) and (318.38,112.08) .. (317.25,112.08) ;
%Shape: Free Drawing [id:dp6064114813415962] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (322.25,106.08) .. controls (322.25,107.56) and (318.87,114.08) .. (317.25,114.08) ;
%Shape: Free Drawing [id:dp885805922973911] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (335.25,108.08) .. controls (335.25,102.08) and (333.25,112.08) .. (333.25,112.08) .. controls (333.25,112.08) and (334.25,105.12) .. (334.25,106.08) .. controls (334.25,108.42) and (334.25,110.75) .. (334.25,113.08) .. controls (334.25,115.08) and (334.25,109.08) .. (334.25,107.08) ;
%Shape: Free Drawing [id:dp4156342470719523] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (349.25,105.08) .. controls (349.25,106) and (347.65,108.09) .. (347.25,110.08) .. controls (346.98,111.43) and (346.25,115.46) .. (346.25,114.08) .. controls (346.25,98.78) and (347.44,111.89) .. (344.25,115.08) .. controls (343.72,115.61) and (345.1,113.81) .. (345.25,113.08) .. controls (345.58,111.42) and (345.71,109.7) .. (346.25,108.08) .. controls (346.46,107.45) and (346.25,105.42) .. (346.25,106.08) .. controls (346.25,108.59) and (346.06,112.65) .. (345.25,115.08) .. controls (344.95,115.97) and (344.52,112.35) .. (344.25,112.08) ;
%Shape: Free Drawing [id:dp38589790908459654] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (333.25,106.08) .. controls (335.28,106.08) and (334.58,110.08) .. (334.25,112.08) .. controls (333.92,114.06) and (334.25,104.08) .. (334.25,106.08) .. controls (334.25,109.1) and (333.25,112.06) .. (333.25,115.08) ;
%Shape: Free Drawing [id:dp9237986498545397] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (334.25,106.08) .. controls (334.25,101.66) and (333.25,112.08) .. (333.25,112.08) .. controls (333.25,112.08) and (333.25,107.42) .. (333.25,105.08) .. controls (333.25,97.1) and (333.25,111.42) .. (333.25,113.08) ;
%Shape: Free Drawing [id:dp7790842256349279] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (251.25,130.08) .. controls (251.58,130.08) and (251.92,130.08) .. (252.25,130.08) ;
%Shape: Free Drawing [id:dp09131224839289143] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (423.25,112.08) .. controls (423.25,117.94) and (421.29,121.04) .. (418.25,124.08) .. controls (416.96,125.37) and (414.18,121.51) .. (415.25,120.08) .. controls (419.52,114.39) and (423.91,127.77) .. (427.25,121.08) ;
%Shape: Free Drawing [id:dp989424703435536] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (410.25,109.08) .. controls (406.9,109.08) and (408.03,115.96) .. (409.25,119.08) .. controls (411.93,125.92) and (418.06,130.89) .. (423.25,136.08) ;
%Straight Lines [id:da8566859932414469] 
\draw [line width=1.5]  [dash pattern={on 5.63pt off 4.5pt}]  (357,166) -- (222.08,167.42) ;
%Shape: Free Drawing [id:dp9989532523943087] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (242,154.83) .. controls (244.37,154.83) and (247,163.5) .. (247,165.83) ;
%Shape: Free Drawing [id:dp33166272385549467] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (250,155.83) .. controls (247.67,155.83) and (251.55,151.9) .. (253,153.83) .. controls (253.8,154.9) and (252.2,156.77) .. (253,157.83) .. controls (254.9,160.37) and (256.03,155.93) .. (257,158.83) .. controls (258.15,162.29) and (254.53,163.83) .. (252,163.83) ;
%Shape: Free Drawing [id:dp604345837158924] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (258,153.83) .. controls (258,154.89) and (256.67,155.83) .. (257,156.83) .. controls (257.71,158.96) and (263.46,159.45) .. (264,157.83) .. controls (265.26,154.06) and (259,145.44) .. (259,157.83) ;
%Shape: Free Drawing [id:dp8327949262616239] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (262,146.83) .. controls (262,150.44) and (267.57,148.98) .. (266,145.83) .. controls (265.01,143.85) and (262,144.62) .. (262,147.83) ;
%Shape: Free Drawing [id:dp12107595122622705] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (369,113.83) .. controls (366.18,113.83) and (364,124.83) .. (364,124.83) .. controls (364,124.83) and (371.19,111.83) .. (366,111.83) .. controls (364.11,111.83) and (360.31,114.99) .. (362,115.83) .. controls (363.33,116.5) and (365.67,116.17) .. (367,116.83) .. controls (372.74,119.7) and (375.91,124.61) .. (367,126.83) .. controls (365.67,127.17) and (364.37,125.83) .. (363,125.83) ;
%Shape: Free Drawing [id:dp6286134133095697] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (163,155.83) .. controls (161.55,155.83) and (162.78,162.39) .. (165,166.83) ;
%Shape: Free Drawing [id:dp6809248700853291] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (169,153.83) .. controls (169,150.89) and (174.13,149.49) .. (175,153.83) .. controls (175.78,157.76) and (175.57,161.87) .. (175,165.83) .. controls (174.52,169.19) and (169.54,167.91) .. (169,166.83) .. controls (163.01,154.86) and (181,169.25) .. (181,165.83) ;
%Shape: Free Drawing [id:dp19227501225387744] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (193,142.83) .. controls (193,142.83) and (193,142.83) .. (193,142.83) ;
%Shape: Free Drawing [id:dp5805167159420105] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (190,142.83) .. controls (190,142.83) and (190,142.83) .. (190,142.83) ;
%Shape: Ellipse [id:dp8706396221551415] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5]  (191,161.17) .. controls (201.96,129.56) and (224.39,108.62) .. (241.08,114.42) .. controls (257.78,120.21) and (262.43,150.53) .. (251.46,182.14) .. controls (240.5,213.75) and (218.07,234.68) .. (201.38,228.89) .. controls (184.68,223.1) and (180.03,192.78) .. (191,161.17) -- cycle ;
%Shape: Free Drawing [id:dp5955622179511192] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (246,194.83) .. controls (242.7,194.83) and (248,191.84) .. (247,193.83) .. controls (245.7,196.42) and (240,199.98) .. (240,202.83) .. controls (240,203.58) and (241.43,202.32) .. (242,201.83) .. controls (243.79,200.3) and (245.08,198.2) .. (247,196.83) .. controls (247.86,196.22) and (249.53,196.78) .. (250,195.83) .. controls (250.15,195.54) and (250,194.83) .. (250,194.83) .. controls (250,194.83) and (248,196.17) .. (247,196.83) .. controls (242.43,199.88) and (235.59,204.65) .. (233,209.83) .. controls (231.16,213.52) and (248,196.83) .. (248,196.83) .. controls (248,196.83) and (233.45,208.38) .. (229,212.83) .. controls (227.16,214.67) and (232.92,209.4) .. (235,207.83) .. controls (237.94,205.63) and (238.51,202.58) .. (242,200.83) .. controls (243.33,200.17) and (239.13,201.86) .. (238,202.83) .. controls (237.88,202.94) and (231,210.83) .. (231,210.83) .. controls (231,210.83) and (232.33,210.17) .. (233,209.83) .. controls (237.05,207.81) and (242,202.58) .. (242,203.83) ;
%Shape: Free Drawing [id:dp843330953566295] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (246,201.83) .. controls (244.13,202.77) and (238,208.34) .. (238,209.83) ;
%Shape: Free Drawing [id:dp2525717292339045] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (257,124.83) .. controls (255.62,126.21) and (249,131.83) .. (251,133.83) .. controls (252.37,135.21) and (257.37,129.46) .. (256,130.83) .. controls (253.83,133.01) and (246.99,138.44) .. (250,137.83) .. controls (254.3,136.97) and (255.47,135.89) .. (257,132.83) .. controls (257.21,132.41) and (258.42,132.04) .. (258,131.83) .. controls (254.07,129.87) and (249.48,137.66) .. (250,137.83) .. controls (252.11,138.54) and (261.01,133.85) .. (259,131.83) .. controls (258.33,131.16) and (246.66,138.72) .. (250,139.83) .. controls (253.93,141.14) and (257.59,135.66) .. (259,132.83) .. controls (259.15,132.54) and (258.3,132.68) .. (258,132.83) .. controls (256.22,133.73) and (254.08,135.75) .. (253,136.83) .. controls (252.76,137.07) and (252.68,137.73) .. (253,137.83) .. controls (254.3,138.27) and (255.7,137.27) .. (257,136.83) .. controls (257.63,136.62) and (259.67,136.83) .. (259,136.83) .. controls (256.27,136.83) and (252,138.8) .. (252,141.83) .. controls (252,142.17) and (252.76,142.07) .. (253,141.83) .. controls (254.29,140.55) and (256,139.79) .. (256,137.83) .. controls (256,136.42) and (251.59,140.83) .. (253,140.83) .. controls (253.57,140.83) and (257,138.83) .. (257,138.83) .. controls (257,138.83) and (250.52,140.83) .. (250,140.83) ;
%Shape: Free Drawing [id:dp18425453841378148] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (252,133.83) .. controls (256.27,133.83) and (255.68,127.83) .. (249,127.83) .. controls (246.64,127.83) and (254,132.83) .. (254,132.83) .. controls (254,132.83) and (254.15,132.13) .. (254,131.83) .. controls (252.8,129.43) and (251.2,127.24) .. (250,124.83) .. controls (249.67,124.17) and (248.47,122.31) .. (249,122.83) .. controls (249.57,123.4) and (254,130.83) .. (254,130.83) .. controls (254,130.83) and (249.37,124.8) .. (247,121.83) .. controls (244.92,119.23) and (253,133.17) .. (253,129.83) .. controls (253,127.89) and (248,119.83) .. (248,119.83) .. controls (248,119.83) and (251.47,124.3) .. (252,124.83) .. controls (252.75,125.58) and (253.88,128.42) .. (253,127.83) .. controls (251.38,126.76) and (251,124.5) .. (250,122.83) .. controls (249.27,121.62) and (246.15,118.7) .. (247,119.83) .. controls (249.13,122.67) and (254,127.83) .. (254,127.83) .. controls (254,127.83) and (250.46,124.22) .. (250,122.83) .. controls (249.76,122.13) and (248.47,120.31) .. (249,120.83) .. controls (250.58,122.41) and (252.21,123.26) .. (253,124.83) .. controls (253.47,125.78) and (255,128.17) .. (254,127.83) .. controls (253.17,127.56) and (248,119.83) .. (248,119.83) .. controls (248,119.83) and (253,129.66) .. (253,130.83) .. controls (253,132.04) and (251.62,128.86) .. (251,127.83) .. controls (250.13,126.38) and (250.54,124.45) .. (250,122.83) .. controls (249.85,122.39) and (248.89,121.38) .. (249,121.83) .. controls (250.06,126.09) and (250.38,130.49) .. (251,134.83) .. controls (251.39,137.55) and (253,124.08) .. (253,126.83) .. controls (253,129.17) and (253,131.5) .. (253,133.83) .. controls (253,135.83) and (253.63,129.73) .. (253,127.83) .. controls (252.24,125.55) and (250.54,123.68) .. (249,121.83) .. controls (248.36,121.07) and (249.45,119.73) .. (249,118.83) .. controls (248.53,117.9) and (247,120.83) .. (247,120.83) .. controls (247,120.83) and (248.15,118.68) .. (249,117.83) .. controls (249.53,117.31) and (247.53,118.31) .. (247,118.83) .. controls (245.95,119.89) and (244.41,121.3) .. (243,120.83) .. controls (241.49,120.33) and (241.57,115.83) .. (240,115.83) ;
%Shape: Free Drawing [id:dp9687375184061859] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (247,121.83) .. controls (247,120.78) and (248.54,117.93) .. (248,118.83) .. controls (246.85,120.75) and (246.24,122.97) .. (245,124.83) .. controls (244.82,125.11) and (243.67,124.83) .. (244,124.83) .. controls (245.67,124.83) and (247.47,123.41) .. (248,121.83) .. controls (248.21,121.2) and (248.67,119.83) .. (248,119.83) .. controls (247.38,119.83) and (246,125.83) .. (246,125.83) .. controls (246,125.83) and (248.8,121.24) .. (250,118.83) .. controls (251,116.83) and (247,122.6) .. (247,124.83) .. controls (247,125.51) and (251,120.42) .. (251,118.83) .. controls (251,117.78) and (250.21,120.8) .. (250,121.83) .. controls (249.34,125.12) and (247,125.68) .. (247,128.83) ;
%Shape: Free Drawing [id:dp037162682217509624] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (254,145.83) .. controls (254,147.32) and (259.33,144.5) .. (258,143.83) .. controls (256.03,142.85) and (252,147.83) .. (252,147.83) .. controls (252,147.83) and (256.65,143.87) .. (257,142.83) .. controls (257.61,140.99) and (252.63,146.46) .. (254,147.83) .. controls (254.68,148.52) and (257.04,145.77) .. (257,145.83) .. controls (256.08,147.22) and (254.67,148.83) .. (253,148.83) ;
%Shape: Free Drawing [id:dp503972365761011] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (256,147.83) .. controls (256,145) and (258.01,148.82) .. (256,150.83) ;
%Shape: Free Drawing [id:dp7964501302418717] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (257,148.83) .. controls (257,147.41) and (258.23,149.61) .. (256,151.83) ;
%Shape: Free Drawing [id:dp12728564401738673] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (257,146.83) .. controls (257,143.08) and (256,150.64) .. (256,150.83) .. controls (256,152.36) and (261.05,145.32) .. (259,145.83) .. controls (257.17,146.29) and (256.33,148.5) .. (255,149.83) ;
%Shape: Free Drawing [id:dp665268540713239] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (255,149.83) .. controls (254.24,151.35) and (254,153.13) .. (254,154.83) ;
%Shape: Free Drawing [id:dp7110152699559354] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (256,163.83) .. controls (249.01,163.83) and (258.07,161.77) .. (256,163.83) ;
%Shape: Free Drawing [id:dp23749075009650866] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (255,162.83) .. controls (256.6,162.83) and (259,164.87) .. (259,162.83) ;
%Shape: Free Drawing [id:dp6858776187615101] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (250,172.83) .. controls (252.42,172.83) and (254,168.83) .. (254,168.83) .. controls (254,168.83) and (247,177.83) .. (247,177.83) .. controls (247,177.83) and (253,169.83) .. (253,169.83) .. controls (253,169.83) and (248.14,177.07) .. (250,175.83) .. controls (254.93,172.54) and (255.3,164.09) .. (251,174.83) .. controls (250.96,174.94) and (255,170.83) .. (255,170.83) .. controls (255,170.83) and (249.02,178.82) .. (251,177.83) .. controls (254.46,176.1) and (255.95,166.93) .. (251,176.83) .. controls (250.05,178.74) and (256,172.83) .. (256,172.83) .. controls (256,172.83) and (253.56,175.71) .. (253,176.83) .. controls (252.67,177.5) and (251.47,179.36) .. (252,178.83) .. controls (253.9,176.93) and (254.39,173.98) .. (256,171.83) ;
%Shape: Free Drawing [id:dp5093606131008828] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (253,171.83) .. controls (253,170.72) and (255.14,167.97) .. (255,167.83) .. controls (254.15,166.99) and (253.05,169.82) .. (253,169.83) .. controls (251.71,170.16) and (250.33,169.83) .. (249,169.83) ;
%Shape: Free Drawing [id:dp08127349144324547] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (250,189.83) .. controls (248.82,190.62) and (245.66,193.28) .. (247,192.83) .. controls (248.86,192.21) and (251.66,189.17) .. (253,187.83) .. controls (253.75,187.09) and (254.66,184.01) .. (254,184.83) .. controls (251.63,187.8) and (247,193.83) .. (247,193.83) .. controls (247,193.83) and (251.97,181.83) .. (253,181.83) .. controls (253.94,181.83) and (251.59,183.1) .. (251,183.83) .. controls (248.75,186.65) and (246.61,189.61) .. (245,192.83) .. controls (244.25,194.32) and (248,191.17) .. (249,189.83) .. controls (250.61,187.68) and (253,182.83) .. (253,182.83) .. controls (253,182.83) and (253.24,183.6) .. (253,183.83) .. controls (251.1,185.73) and (245.15,190.83) .. (245,190.83) ;
%Shape: Free Drawing [id:dp8558639596741827] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (239,208.83) .. controls (239,202.68) and (235.36,210.47) .. (234,211.83) .. controls (233.87,211.97) and (231.87,214.97) .. (232,214.83) .. controls (241.07,205.77) and (231,210.13) .. (231,217.83) .. controls (231,218.45) and (235,213.32) .. (235,210.83) .. controls (235,210.5) and (235.2,211.57) .. (235,211.83) .. controls (233.11,214.35) and (231.41,217.02) .. (230,219.83) .. controls (229.79,220.25) and (228.79,221.25) .. (229,220.83) .. controls (229.7,219.44) and (238.25,206.95) .. (233,214.83) ;
%Shape: Free Drawing [id:dp741639550390689] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (234.25,212.58) .. controls (232.2,212.58) and (238.25,210.58) .. (238.25,210.58) .. controls (238.25,210.58) and (233.25,213.58) .. (233.25,213.58) .. controls (233.25,213.58) and (241.39,208.31) .. (240.25,210.58) .. controls (238.87,213.35) and (235.29,213.54) .. (233.25,215.58) ;
%Shape: Free Drawing [id:dp5292161893984975] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (226.25,223.58) .. controls (224.88,223.58) and (222.25,223.21) .. (222.25,224.58) .. controls (222.25,225.19) and (226.25,222.58) .. (226.25,222.58) .. controls (226.25,222.58) and (221.25,225.58) .. (221.25,225.58) .. controls (221.25,225.58) and (226.25,222.58) .. (226.25,222.58) .. controls (226.25,222.58) and (221.45,224.58) .. (221.25,224.58) .. controls (219.01,224.58) and (229.49,221.58) .. (227.25,221.58) .. controls (226.12,221.58) and (219.13,225.21) .. (220.25,225.58) .. controls (221.69,226.06) and (227.25,224.12) .. (227.25,222.58) .. controls (227.25,222) and (223.25,225.58) .. (223.25,225.58) .. controls (223.25,225.58) and (231.49,222.58) .. (229.25,222.58) .. controls (227.45,222.58) and (225.7,222.14) .. (224.25,223.58) .. controls (223.07,224.76) and (229.74,221.33) .. (228.25,220.58) .. controls (227.18,220.05) and (224.05,222.58) .. (225.25,222.58) .. controls (226.05,222.58) and (228.25,220.58) .. (228.25,220.58) .. controls (228.25,220.58) and (228.49,221.35) .. (228.25,221.58) .. controls (223.48,226.35) and (219.02,223.81) .. (215.25,227.58) ;
%Shape: Free Drawing [id:dp04607417535371794] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (242.75,118.58) .. controls (242.75,118.58) and (242.75,118.58) .. (242.75,118.58) ;
%Shape: Free Drawing [id:dp8454714521565635] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (241.75,118.58) .. controls (241.42,118.58) and (241.08,118.58) .. (240.75,118.58) ;
%Shape: Free Drawing [id:dp6178550720742205] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (187.75,142.58) .. controls (197.09,133.24) and (190.34,141.2) .. (186.75,146.58) .. controls (184.92,149.33) and (193.75,139.58) .. (193.75,139.58) .. controls (193.75,139.58) and (188.75,144.88) .. (188.75,146.58) .. controls (188.75,148.94) and (195.42,139.92) .. (193.75,141.58) .. controls (192.9,142.43) and (192.29,143.51) .. (191.75,144.58) .. controls (191.42,145.25) and (190.22,147.11) .. (190.75,146.58) .. controls (191.75,145.58) and (192.9,144.71) .. (193.75,143.58) .. controls (194.2,142.99) and (195.28,141.06) .. (194.75,141.58) .. controls (193.57,142.76) and (192.5,144.09) .. (191.75,145.58) .. controls (191.54,146) and (190.46,146.95) .. (190.75,146.58) .. controls (192.54,144.34) and (197.42,137.25) .. (195.75,139.58) .. controls (193.32,142.98) and (191.07,146.62) .. (189.75,150.58) ;
%Shape: Free Drawing [id:dp698916748703862] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (252.75,161.58) .. controls (251.7,161.58) and (253.75,165.64) .. (253.75,164.58) .. controls (253.75,163.81) and (252.75,161.81) .. (252.75,162.58) .. controls (252.75,163.05) and (253.33,163.37) .. (253.75,163.58) .. controls (254.17,163.79) and (254.42,164.25) .. (254.75,164.58) ;
%Shape: Free Drawing [id:dp6854322674008652] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (251.75,163.58) .. controls (248.38,163.58) and (250.91,165.08) .. (251.75,167.58) .. controls (251.9,168.03) and (252.42,168.92) .. (252.75,168.58) .. controls (253.59,167.75) and (251.75,163.76) .. (251.75,162.58) .. controls (251.75,160.48) and (253.75,166.48) .. (253.75,168.58) .. controls (253.75,170.38) and (251.75,163.58) .. (251.75,163.58) .. controls (251.75,163.58) and (253.75,168.58) .. (253.75,168.58) .. controls (253.75,168.58) and (254.55,164.58) .. (257.75,164.58) .. controls (259.99,164.58) and (253.33,166) .. (251.75,167.58) ;
%Shape: Free Drawing [id:dp15167304726124586] 
\draw  [color={rgb, 255:red, 255; green, 255; blue, 255 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (253.75,172.58) .. controls (253.75,171.8) and (255.75,169.58) .. (255.75,169.58) .. controls (255.75,169.58) and (253.95,168.78) .. (253.75,168.58) ;
%Shape: Free Drawing [id:dp3774054342098806] 
\draw  [color={rgb, 255:red, 74; green, 144; blue, 226 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (252.33,164) .. controls (252.33,162.81) and (258.87,164.53) .. (255.33,161) ;
%Shape: Free Drawing [id:dp6773776394131277] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (253.33,144) .. controls (253.33,142.35) and (258.73,140.6) .. (260.33,139) ;
%Shape: Free Drawing [id:dp9702953331071574] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (251.33,183) .. controls (251.33,181.78) and (254.04,179.3) .. (255.33,178) ;
%Shape: Free Drawing [id:dp8794709178373293] 
\draw  [color={rgb, 255:red, 0; green, 0; blue, 0 }  ,draw opacity=1 ][line width=1.5] [line join = round][line cap = round] (240.5,112) .. controls (242.2,112) and (244.48,114.98) .. (245.5,116) .. controls (246.03,116.53) and (248.25,117) .. (247.5,117) .. controls (246.3,117) and (245.57,115.54) .. (244.5,115) .. controls (243.09,114.29) and (240.5,115.05) .. (240.5,113) ;

\end{tikzpicture}
\end{figure}

\begin{enumerate}
\item Находим высоту АЕ. Как гипотенуза в треугольнике с углом в 30 градусов, она равна 16.
\item Находим площадь треугольника АВС: $$S_{\Delta ABC}=\frac{1}{2}\cdot 16\cdot 12=96.$$
\item По формуле, полученной в \href{https://solverer.com/library/najma_gakhramanova/matematika__10/exercise_560}{упражнении 5}, можем написать:
$$S_{\Delta AB_1C}=S_{\Delta ABC}\cdot \cos \phi=96\cos 30=96\cdot \frac{\sqrt{3}}{2}=48\sqrt{3}.$$
\end{enumerate}
	extbf{Ответ: $S_{\Delta AB_1C}=48\sqrt{3}.$}

Задание 6, стр 60

Answers

Comments

Задание 6, стр 60

Answers

Comments

Add answer