How far (in km) apart are the towns? (Round your answer to one decimal place.)

Question

A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 26° and 56° (see figure). How far (in km) apart are the towns? (Round your answer to one decimal place.)

Answer 1

Let s is distanse between touns. Then 10/tan26° = (10 + s)/tan56°; s = 10/(tan26°tan56°) - 10 = 3.83 km