Question

a tree cast a 25 foot shadow on a sunny day, if the angle of elevation from the tip of the shadow to the top of the top of the tree is 32 degrees, what is the heights of the tree to the nearest tenth of a foot?

Answer 1

Tree height is 15.6 ft

Explanation:

Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left. Then the following is true:

x

tan 32 = 0.625 = --------------------- or x = (0.625)(25 ft) = 15.6 ft

25 ft