Hello, checkmarks!

These require extra steps . . . Here is #1 . . .

1. A cell tower 25m tall is on top of a hill.

To an observer standing on level ground near the foot of the hill,

the angle of elevation of the top of the tower is 50°

and the angle of elevation of the bottom of the tower is 32°.

Calculate the height of the top of the tower from the observer's position on the ground. Code:

* B
* |
* |25
* |
* * C
* 18° * :
* * :y
* * 32° :
A * - - - - - - - - - - - * D
x

is the 25-foot tower.

The observer is at

. . .

Let

. . We want:

In right triangle **[1]**

In right triangle

Equate [1] and [2]: .

. .

Factor: .

Hence: .