Between points A and B is 50m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree?

Correct answer:

h =  13.1433 m

Step-by-step explanation:

c=50 m A=18  B=3 A=3 18=54  A0=A° rad=A° 180π =18° 1803.1415926 =0.31416=π/10 B0=B° rad=B° 180π =54° 1803.1415926 =0.94248=3π/10 h/c1 = tan A h/c2 = tan B c = c1+c2 h/tan A + h/ tan B = c  h=c/(1/tan(A0)+1/tan(B0))=50/(1/tan0.3142+1/tan0.9425)=13.1433 m

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