how would you set this up? I tried to do sin(25)=x/275 but it didn't work. please help

Question

A radio tower is located 275 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is  and that the angle of depression to the bottom of the tower is . How tall is the tower?

Answer 1

Draw and label a diagram.

T is the top of the tower

M is the middle of the tower (opposite the window)

B is the base of the tower

TM / 275 = tan 41°

TM = 275 tan 41°

MB / 275 = tan 25°

MB = 275 tan 25°

height of the tower equal TM + MB

Answer 2

Draw a picture

The height of the window above the ground will be 275 tan 25, and the height of the top of the tower above the window will be 275 tan 41. Just add these together