Question

You want to measure the height of a tree in

front of your house. You are standing 25
feet away from the tree, and you are
looking at the top of the tree with an angle
of elevation of 52º. What is the height of
the tree? Round to the nearest foot.

Answer 1

31 feets

Explanation:

The sketched triangle of the problem is attached below :

To byian the height h of the tree :

We use the trigonometric relation :

Tan θ = opposite / Adjacent

Tan 52 = h / 25

1.2799416 = h / 25

h = 1.2799416 * 25

h = 31.998540

h = 32 feets