Chapter 9 Practice Test

Chapter 9 Practice Test

Short Answer

1. Two triangles each have adjacent sides of length 120 feet and 180 feet. The first triangle has an angle between the two sides of 40, while the second triangle has an angle between the two sides of 60. What is the approximate difference between the areas of the two triangles?

2. Viola drives 170 meters up a hill that makes an angle of 6 with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

3. Find the value of w, then x. Round lengths of segments to the nearest tenth.

Find the value of x. Round your answer to the nearest tenth.

4.

Find the area of the regular polygon. Give the answer to the nearest tenth.

5. pentagon with radius 8 m

6. hexagon with side 8 yd

7. A boat in calm seas travels in a straight line and ends the trip 22 km west and 53 km north of its original position. To the nearest tenth of a degree, find the direction of the trip.

Find the value of x. Round to the nearest tenth.

8.

9.

Find the value of x. Round to the nearest degree.

10.

11. A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 8 miles.

a. / Draw and label a diagram to represent this situation.
b. / To the nearest hundredth of a mile, how high does the highway rise in this 8-mile section? Show the steps you use to find the distance.

12. To approach the runway, a small plane must begin a 9 descent starting from a height of 1125 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

13. The students in Mr. Collin’s class used a surveyor’s measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, find the height of the building.

Find the value of x. Round the length to the nearest tenth.

14.

15.

Find the value of x to the nearest degree.

16.

17. Write the tangent ratios for and .

18. Write the ratios for sin A and cos A.

19. A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12.

a. / Draw a diagram to represent this situation.
b. / To the nearest foot, how far is the fire from the base of the tower? Show the steps you use to find the solution.

20. A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58. To the nearest unit, find the area of the park in square yards.

Answer Section

SHORT ANSWER

1. ANS:

2411 ft

2. ANS:

169.1 m

3. ANS:

w = 13.3, x = 10.2

4. ANS:

4

5. ANS:

152.2 m

6. ANS:

166.3 yd

7. ANS:

22.5 west of north

8. ANS:

12.5

9. ANS:

6.2

10. ANS:

28

11. ANS:

a. /
b. / / = / / Use the tangent ratio.
x / = / / Solve for x.
x / / 0.84
The rise is about 0.84 miles.

12. ANS:

1.4 mi

13. ANS:

308 ft

14. ANS:

10.4 yd

15. ANS:

1151.8 m

16. ANS:

60

17. ANS:

18. ANS:

19. ANS:

a. /
b. / / = / / Use the tangent ratio.
x / = / / Solve for x.
x / / 99
The fire is about 99 feet from the base of the tower.

20. ANS:

14,470 yd