Chapter 9

1. To measure cloud height at night, a vertical beam of light is directed on a spot on the cloud.

From a point 135 ft away from the light source, the angle of elevation to the spot is found to be

67.35°. Find the height of the cloud. (Round to the nearest hundredth)

2. A car is approaching a building that is 100 feet tall. If the angle of the car changes from 22° to

46°, how far does the car travel? (Round to the nearest hundredth)

3. Determine the area of quadrilateral ABCD when ADDC, C = 120°, AD = 10cm, DC = 22cm,

and BC = 51cm. (Round to the nearest hundredth)

4. The area of PQR is 30. If q = 10 and r = 8, what could be the measure of ∠P?

5. In ABC , b = 15, c = 20, and ∠B = 29°. Solve the triangle.

6. In ABC , a = 9, b = 10, c = 11. Find the measures of the angles.

7. In order to calculate the height of a mountain peak, a surveyor measured the angle of elevation

from a certain stake and found it to be 14.5°. He then advances over a level plain toward the

peak and set a second stake, from which the angle of elevation was found to be 18.75°. The

distance between the stakes was 2,386 ft. Find the height of the peak above the plain.

8. From the southeast corner of the cemetery on Main St. proceed S78°W for 250 meters until a

granite post is reached, then S15°E for 180 meters to Pine St., then N78°E along Pine St. until it

intersects Main St., and finally N30°E along Main St. back to its starting point. Find the area of

the lot.

9. A ship leaves port and travels due east for 25 miles. It then turns and travels on a bearing of 313° for 19 miles. At that time how far is it from the starting point and what bearing would it have to

sail to return home?