A man in a balloon observes that the angle of depression of an object on the ground…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A man in a balloon observes that the angle of depression of an object on the ground bearing due north is

33^\circ

; the balloon drifts 3 miles due west and the angle of depression is now found to be

21^\circ

. Find the height of the balloon.