You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depression to the base of the tree to be 52∘. The squirrel is at an angle of elevation of 21∘. How many feet off the ground is the squirrel?

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

---> by TOA (opposite side divided by the adjacent side)

Solve for AC

step 2

In the right triangle ABE

Find the length side AB

---> by TOA (opposite side divided by the adjacent side)

solve for AB

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

x=30

step-by-step explanation:

squares, rhombus, rectangles