# The sun casts a shadow of a pine tree on the ground. The tree is 65 feet tall. The angle of depression is 53.4°. What is the length of the shadow?

##### 1 Answer

Dec 19, 2016

#### Explanation:

Here height of the tree, its shadow and ground form a right angled triangle.

Angle of depression = angle of elevation =

Therefore

or, #tan 53.4° = 65/"shadow

or, shadow =

So, length of the shadow =