Precalculus Honors Name__________________________

Chapter 9 Test Review Date___________________________

1. CB Radio Problem: A CB radio operator has a base station on Farm Road 1984, 8 miles from

where it intersects Highway 87. The farm road makes an angle of 32º with the highway. If the

radio has a range of 5 miles, between what two distances from the intersection can cars on the

highway hear the base station radio?

2. Alligator Problem: Calvin is swimming in Lake Rancid when he spots two alligators. He tells

you that his distance to alligator 1 is 30 m, the distance between the alligators is 20 m, and the

angle at Calvin is 58º.

a) Show Calvin that he must have made a mistake in measurement, since there is not such

triangle.

b) Find the Two possible distances between Calvin and alligator 2 using the correct angle,

28º.

3. Airplane Problem: Aloha Airlines Flight 007 is approaching Kahului Airport at an altitude of 5

km. The angle of depression from the plane to the airport is 9º32’.

a) What is the plane’s ground distance from the airport?

b) If the plane descends directly along the line of sight, how far will it travel along this line

in reaching the airport?

Precalculus Honors Name__________________________

Chapter 9 Test Review Date___________________________

4. Mountain Height Problem: A surveying crew is given the job of measuring the height of a

mountain. From a point on level ground, they measure an angle of elevation to the top of 21º34’.

They move 507 m closer and find the angle is now 35º41’. How high is the mountain?

5. Raindrop Problem: Raindrops are falling vertically at a speed of 120 km/h through air that is

moving horizontally at a speed of 40 km/h.

a) At what angle do the drops strike the ground?

b) How fast are the drops actually going?

6. Missile Problem: An observer 2 km from the launching pad observes a vertically ascending

missile at an angle of elevation of 21º. Five seconds later, the angle has increased to 35º.

a) How far did the missile travel during the 5 second interval?

b) What was its average speed during this interval?

c) If it keeps going vertically at the same average speed, what will its angle of elevation be

15 seconds after the first sighting?

7. In the township of Madison, rural undeveloped land is taxed at a rate of $115 per acre. Find the

tax on the plot of land. (1 acre = 43,560 ft²)

Start at the post and go south for 125 ft. Turn and walk 130 ft along a bearing of N80°E. Then

turn and walk 100 ft along a bearing of N20°E. Then turn and walk back to the post.