Free Printable Unit 4/5 Review

1.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

2.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

3.

Find the missing side using proportions.

a)

51

b)

45

c)

74

d)

50

4.

Find AE

a)

12.5

b)

18

c)

11.75

d)

13

5.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

6.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

7.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

8.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

9.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

10.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

11.

Complete the proportion to solve for x:

?/20 = 9/15

a)

x

b)

x + 20

c)

x - 20

d)

20 - x

12.

Three sides of a triangle are 12, 16, and 22. The biggest side of another similar triangle is 176. What is the perimeter of the bigger triangle?

a)

320

b)

360

c)

400

d)

440

13.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

14.

What is the formula for scale factor?

a)

$\frac{image}{preimage}\ or\ \frac{A'}{A}$

b)

$\frac{preimage}{image}\ or\ \frac{A}{A'}$

15.

Write a similarity statement for the triangles.

(a)

Choose from the below words

$△AEB\ \sim\ △QTR\$

$△AEB\ \sim\ △RTQ\$

$△AEB\ \sim\ △TRQ\$

$△AEB\ \cong\ △QTR\$

16.

Similar means...

a)

Same shape

Same Size

b)

Different Shape

Different Size

c)

Different Shape

Same Size

d)

Same Shape

Different Size

17.

Dilate a figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

18.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

19.

Find the value tan θ if cos θ = $\frac{7}{8}$

a)

$\frac{\sqrt{15}}{8}$

b)

$\frac{7\sqrt{15}}{15}$

c)

$\frac{\sqrt{15}}{7}$

d)

$\frac{8}{7}$

20.

$Find\ \sin\theta\ if\ \tan\theta=\frac{24}{7}$

a)

$\frac{7}{24}$

b)

$\frac{25}{24}$

c)

$\frac{24}{25}$

d)

$\frac{24}{7}$

21.

Find the value of the trig function indicated.

a)

$\frac{5}{3}$

b)

$\frac{3}{5}$

c)

$\frac{24}{25}$

d)

$\frac{5}{4}$

22.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

23.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

24.

Find sin C

a)

21/35

b)

28/21

c)

35/28

d)

28/35

25.

$\cos\left(\theta\right)=?$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

26.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

27.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

28.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

29.

Which trigonometric ratio is correct?

a)

cosC= adj/hyp

b)

sinC= adj/hyp

c)

tanC= adj/hyp

d)

tanC=adj/opp

30.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

31.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

32.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

33.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

34.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

35.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

36.

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?

a)

220.3 ft.

b)

100 ft.

c)

86.6 ft.

d)

73.8 ft.

37.

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?

a)

5.3 feet

b)

2.8 feet

c)

3.2 feet

d)

11.3 feet

38.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to its current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

39.

A boat is 600 meters from the base of a cliff. Erika, who is sitting in the boat, notices that the angle of elevation to the top of the cliff is 32°. How high is the cliff?

(Round to the nearest tenth. Only the number, no units)

(a)

40.

The height of a building is 250 feet. What is the angle of elevation from a point on the level ground 200 feet away from the building?

(Round to the nearest tenth. Only the number, no units)

(a)

41.

Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree?

(Round to the nearest tenth. Only the number, no units)

(a)

42.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

a)

11.1 ft.

b)

9 ft.

c)

7.4 ft.

d)

13.8 ft.

43.

Round your answer to the nearest tenth.

a)

1747.5 ft.

b)

1319.3 ft.

c)

1428.2 ft.

d)

2747.5 ft.

Unit 4/5 Review

Total questions: 43

Worksheet time: 1hrs 26mins

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