Tunnel - quadrilateral

How long will the tunnel AB be, distances AD=35 m, DC=120 m, CB=85 m, and angles ADC=105 degrees and BCD=71 degrees. ABCD is a quadrilateral.

Correct answer:

a =  230.9558 m

Step-by-step explanation:

d=35 m c=120 m b=120 m  δ=105° rad=105° 180π =105° 1803.1415926 =1.8326=7π/12 γ=71° rad=71° 180π =71° 1803.1415926 =1.23918  x0=d=35 y0=0  x1=x0+c cos(πδ)=35+120 cos(3.14161.8326)66.0583 y1=y0+c sin(πδ)=0+120 sin(3.14161.8326)115.9111  x2=x1+b cos(πγ)=66.0583+120 cos(3.14161.2392)26.9901 y2=y1+b sin(πγ)=115.9111+120 sin(3.14161.2392)229.3733  a=x22+y22=26.99012+229.37332=230.9558 m



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geometryarithmeticplanimetricsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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