Use the following information to answer questions 32-35.
In the figure below, a highway rest area (at D) and radar stations (at A and B) lie on a level east-west line; A is 9,000 feet due west of D. An airplane (at C) is shown directly above the rest area, flying due west at a constant speed of 300 feet per second and at a constant altitude of 12,000 feet. The airplane is located at a straight-line distance of 15,000 feet from the radar station at A and 13,000 feet from the radar station at B.
35. When considering the changing triangle formed by A, B, and the moving airplane (C), which of the angles below increases in measure as the airplane flies due west beyond the point directly above A ?
I. ∠A
II.∠B
III.∠C
Your Answer is
Correct Answer is A
Explanation
∠B is decreasing, ∠C first increases and then decreases (C is above the midpoint of AB, ∠C is the largest when △ABC is an isosceles triangle), and ∠A continues to increase. Choose A.