A woman standing on a hill sees a flagpole that she knows is 55 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. Find her distance x from the pole.

Answer 1

Draw a diagram, and you will see that

x cot14° + x cot18° = 55
x = 55/(cot14° + cot18°)