How tall is the tower?

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 29 degrees and that the angle of depression to the bottom of the tower is 20 degrees. How tall is the tower?

Answer 1

d = 400' distance from building to tower

29° from window to top of tower and 20° from window to bottom of tower

Tan 29 = h2/d Tan 20 = h1/d

h2 = 400Tan29 h1 = 400Tan20

Tower = 367.3 ft high

(Couldn't draw a figure and insert it into this area. It isn't size compatible with Wyzant.)

Answer 2

Draw and label a diagram!

h_top / 400 = tan 29°

h_bottom / 400 = tan 20°