Free Printable Chapter 8 Test Review

1.

The __________ of a vector gives the horizontal and vertical change from the initial point to the terminal point.

a)

component form

b)

equal vectors

c)

geometric mean

d)

angle of elevation

e)

trigonometric ratio

2.

Two vectors with the same magnitude and direction are called __________ .

a)

component form

b)

equal vectors

c)

geometric mean

d)

angle of elevation

e)

trigonometric ratio

3.

If 'a' and 'b' are positive numbers, then $\sqrt{ab}$ is the __________ of 'a' and 'b'.

a)

component form

b)

equal vectors

c)

geometric mean

d)

angle of elevation

e)

trigonometric ratio

4.

A(n) __________ is the angle formed by a horizontal line and a line of sight to a point above the horizontal line.

a)

component form

b)

equal vectors

c)

geometric mean

d)

angle of elevation

e)

trigonometric ratio

5.

The sine, cosine, and tangent are all examples of a(n) __________ .

a)

component form

b)

equal vectors

c)

geometric mean

d)

angle of elevation

e)

trigonometric ratio

6.

Which of the following is not a valid similarity statement comparing triangles in the diagram?

a)

$\Delta QPR\sim\Delta QRS\sim\Delta RPS$

b)

$\Delta QPR\sim\Delta RPS$

c)

$\Delta PQR\sim\Delta RQS\sim\Delta PRS$

d)

$\Delta PQR\sim\Delta RQS$

e)

All of these are correct.

7.

Find the geometric mean of $\frac{1}{4}$ and $100$ .
If necessary, give the answer in simplest radical form.

a)

5

b)

$\sqrt{25}$

c)

$\sqrt{26}$

d)

$10$

e)

$\sqrt{51}$

8.

Find the geometric mean of 3 and 17.
If necessary, give the answer in simplest radical form.

a)

5

b)

$\sqrt{25}$

c)

$\sqrt{26}$

d)

$10$

e)

$\sqrt{51}$

9.

Find x.

a)

$\sqrt{35}$

b)

$2\sqrt{15}$

c)

$2\sqrt{21}$

d)

$\sqrt{37}$

e)

None of these.

10.

Find y.

a)

$\sqrt{35}$

b)

$2\sqrt{15}$

c)

$2\sqrt{21}$

d)

$\sqrt{37}$

e)

None of these.

11.

Find z.

a)

$\sqrt{35}$

b)

$2\sqrt{15}$

c)

$2\sqrt{21}$

d)

$\sqrt{37}$

e)

None of these.

12.

Find x.

a)

3

b)

$3\sqrt{5}$

c)

$6\sqrt{5}$

d)

$72$

e)

None of these.

13.

Find y.

a)

3

b)

$3\sqrt{5}$

c)

$6\sqrt{5}$

d)

$72$

e)

None of these.

14.

Find z.

a)

3

b)

$3\sqrt{5}$

c)

$6\sqrt{5}$

d)

$72$

e)

None of these.

15.

Find x.

a)

5

b)

$\sqrt{5}$

c)

$\sqrt{30}$

d)

$6\sqrt{5}$

e)

None of these.

16.

Find y.

a)

5

b)

$\sqrt{5}$

c)

$\sqrt{30}$

d)

$6\sqrt{5}$

e)

None of these.

17.

Find z.

a)

5

b)

$\sqrt{5}$

c)

$\sqrt{30}$

d)

$6\sqrt{5}$

e)

None of these.

18.

Find UV. Round to the nearest hundredth.

a)

11.17 m

b)

11.15 m

c)

11.16 m

d)

11.18 m

e)

None of these.

19.

Find PR. Round to the nearest hundredth.

a)

6.30 m

b)

6.31 m

c)

6.32 m

d)

6.33 m

e)

None of these.

20.

Find XY. Round to the nearest hundredth.

a)

10.32 cm

b)

10.31 cm

c)

10.33 cm

d)

10.34 cm

e)

None of these.

21.

Find JL. Round to the nearest hundredth.

a)

1.32 cm

b)

1.31 cm

c)

1.33 cm

d)

1.34 cm

e)

None of these.

22.

Find the unknown measures. Round lengths to
the nearest hundredth and angle measures to the
nearest degree.

Select the answers that do NOT belong.

a)

$68\degree$

b)

$67\degree$

c)

4.82

d)

1.95

e)

3.10

23.

Find the unknown measures. Round lengths to
the nearest hundredth and angle measures to the
nearest degree.

Select the answers that do NOT belong.

a)

$53\degree$

b)

$40\degree$

c)

$37\degree$

d)

$50\degree$

e)

$45\degree$

24.

Find the unknown measures. Round lengths to
the nearest hundredth and angle measures to the
nearest degree.

Select the answers that do NOT belong.

a)

42.43

b)

27.27

c)

36.36

d)

36.35

25.

Find the unknown measures. Round lengths to

the nearest hundredth and angle measures to the

nearest degree.

Select the answers that do NOT belong.

a)

$41\degree$

b)

$49\degree$

c)

$42\degree$

d)

$48\degree$

e)

$45\degree$

26.

Classify $\angle1$ as an angle of elevation or angle of depression.

a)

Elevation

b)

Depression

c)

Sadness

d)

Happiness

e)

This answer is wrong.

27.

Classify $\angle2$ as an angle of elevation or angle of depression.

a)

Elevation

b)

Depression

c)

Sadness

d)

Happiness

e)

This answer is wrong.

28.

When the angle of elevation to the sun is 82°, a statue casts a shadow that is 5.1 ft long. What is the height of the statue to the nearest foot?

a)

35 ft

b)

36 ft.

c)

37 ft.

d)

38 ft.

e)

The statue is tall... but not too tall...

29.

A ranger in a lookout tower spots a fire in the distance. The angle of depression to the fire is 4°, and the lookout tower is 32 m tall. What is the horizontal distance to the fire? Round to the nearest meter.

a)

458 m

b)

456 m

c)

454 m

d)

452 m

e)

Hurry! Get the statue!

30.

Find $m\angle Z$ . Round to the nearest degree.

a)

$20\degree$

b)

$21\degree$

c)

$22\degree$

d)

$23\degree$

e)

None of these.

31.

Find MN. Round to the nearest tenth.

a)

31.2

b)

31.3

c)

31.4

d)

31.1

e)

None of these.

32.

Find EF. Round to the nearest tenth.

a)

20.0

b)

20.1

c)

20.2

d)

19.9

e)

None of these.

33.

Find $m\angle Q$ . Round to the nearest degree.

a)

$52\degree$

b)

$54\degree$

c)

$56\degree$

d)

$57\degree$

e)

None of these.

34.

Write the vector from A to B in component form.
A(5,1)
B(-2,3)

a)

〈-7,2〉

b)

〈3,4〉

c)

〈1,-6〉

d)

〈-2,-5〉

e)

None of these.

35.

Write the vector MN in component form.
M(-2,4)
N(-1,-2)

a)

〈-7,2〉

b)

〈3,4〉

c)

〈1,-6〉

d)

〈-2,-5〉

e)

None of these.

36.

Write the vector in component form.

a)

〈-7,2〉

b)

〈3,4〉

c)

〈1,-6〉

d)

〈-2,-5〉

e)

None of these.

37.

Find the magnitude of the vector 〈-5, -3〉.

a)

5.8

b)

2

c)

5.7

d)

51°

e)

16°

38.

Find the magnitude of the vector 〈-2, 0〉.

a)

5.8

b)

2

c)

5.7

d)

51°

e)

16°

39.

Find the magnitude of the vector 〈4, -4〉.

a)

5.8

b)

2

c)

5.7

d)

51°

e)

16°

40.

Find the direction of the vector 〈4, 5〉.

a)

5.8

b)

2

c)

5.7

d)

51°

e)

16°

41.

Find the direction of the force applied by a tugboat given by the vector 〈7, 2〉.

a)

5.8

b)

2

c)

5.7

d)

51°

e)

16°

42.

A plane flies at a constant speed of 600 mi/h at a bearing of N 55° E. There is a 50 mi/h crosswind blowing due east. What are the plane’s actual speed and direction? Round the

speed to the nearest tenth and the direction to the nearest degree.

a)

641.6 mi/h

b)

642.8 mi/h

c)

N 58° E

d)

N 30° E

Chapter 8 Test Review

Total questions: 42

Worksheet time: 1hrs 22mins

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