Solve the problem.
-A blimp is 1700 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 72.4° and 27.8°, how far apart are the two stadiums to the nearest meter?
A) 1862 m
B) 2685 m
C) 3764 m
D) 3700 m

Question

Quizplus · Accepted Answer

To find the distance between the two stadiums, we use the tangent of the angles of depression. For the first stadium, tan(72.4°) = 1700/d1, and for the second stadium, tan(27.8°) = 1700/d2. Solving these gives d1 and d2, and the distance between the stadiums is |d2 - d1|, which is approximately 2685 meters.

Solve the Problem. -A Blimp Is 1700 Meters High in the Air and the Air