Question

A squirrel is looking up to the top of a tree at a 35∘ angle of elevation. The squirrel to the base of the tree is 47 feet. Find the height of the tree. Round your answer to the nearest foot. The height of the tree is about feet.

Answer 1

33 feet

Explanation:

We can draw a triangle in this situation.

Note:

The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.

Which trig ratio relates "opposite" and "adjacent"?

It is Tan

Thus we can write and solve (let height of tree be h):

`Tan(35)=(h)/(47)\\h=Tan(35)*47\\h=32.91`

To the nearest foot, the height of tree is about 33 feet