Question

Two people decide to estimate the height of a flagpole. One person positions himself due north of the pole and the other person stands due east of the pole. If the two people are the same distance from the pole and a = 30 feet from each other, find the height of the pole if the angle of elevation from the ground to the top of the pole at each person's position is 54°.

Answer 1

Height of the pole = a/tan(54°) = 30/tan(54°) ≈ 33.7 feet