math help please

Question

A radio tower is located 400 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 41∘ and that the angle of depression to the bottom of the tower is 24∘. How tall is the tower in feet

thank you for your time and hep

Answer 1

Draw a picture. Let x be the length directly across from the window on the tower to the top of the tower.

Let y be the length directly across from the window on the tower to the bottom of the tower.

tan(41°) = x/400

tan(24°) = y/400

Total height of the tower = x+y = 400tan(41°) + 400tan(24°) = 400(tan(41°)+tan(24°)) feet