A and B are two points on a level ground, both due south of a flagpole. The angle of elevation of the top of the flagepole is 60 degrees from A and 45 degrees from B. If A is 20m from the foot of the flagpole, find AB.

Answer 1

Draw the diagram and review your basic trig functions. You can find the height h using
h cot45° - h cot60° = 20
h = 20/(cot45°-cot60°) = 20/(1 - 1/√3)

Answer 2

57