College Algebra & Trigonometry, 2018a

8.5. MORE APPLICATIONS 381
Exercises 8.5
1. Find the indicated height h.
h
29.6 ◦
392 ft.
49.3 ◦
2. Find the indicated height h.
h
41.2 ◦
52.5 ◦
168 ft.
3. A small airplane flying at an altitude of 5300 feet sights two cars in front of
the plane traveling on a road directly beneath it. The angle of depression to the
nearest car is 62 ◦ and the angle of depression to the more distant car is 41 ◦ . How
far apart are the cars?
4. A hot air balloon is flying above a straight road. In order to estimate their
altitude, the people in the balloon measure the angles of depression to two consecutive
mile markers on the same side of the balloon. The angle to the closer
marker is 17 ◦ and the angle to the farther one is 13 ◦ . At what altitude is the balloon
flying?
5. To estimate the height of a mountain, the angle of elevation from a spot
on level ground to the top of the mountain is measured to be 32 ◦ . From a point