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

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.