Question

A girl who is 1.6 m tall standing up observes that the angle of elevation of the top of a of a tree is 28°. If the distance of the tree from the girl is 12 m find the height of the tree

Answer 1

Answer:

Height of Tree = 7.98 m

Step-by-step explanation:

A girl who is 1.6 m tall standing up observes that the angle of elevation of the top of a of a tree is 28°. If the distance of the tree from the girl is 12 m find the height of the tree

Tanθ = Perpendicular / Base

Height of Tree = H m

=> Tan 28° = (height of Tree - Height of Girl)/(Distance of Tree from Girl)

=>  Tan 28° = ( H - 1.6)/12

=> 0.5317 = (H - 1.6)/12

=> 6.3804 = H - 1.6

=> H = 7.9804

Height of Tree = 7.98 m