Free Printable Trigonometry Unit Practice for Test

1.

In right triangle ABC, ∠A and ∠B are complementary angles. The value of cos A = 5/13. What is the value of sin B?

a)

5/13

b)

12/13

c)

13/12

d)

13/5

2.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

3.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

4.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

5.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

6.

Choose the correct set-up to solve for x.

a)

$\sin\left(37\right)=\frac{x}{14}$

b)

$\cos\left(37\right)=\frac{x}{14}$

c)

$\tan\left(37\right)=\frac{x}{14}$

d)

$\sin\left(37\right)=\frac{14}{x}$

7.

Solve for d.

a)

18.9

b)

19.5

c)

47

d)

27.5

8.

If angle B is a right angle, what is the correct set-up to solve for side AB?

a)

$\cos\left(60\right)=\frac{x}{10}$

b)

$\tan\left(60\right)=\frac{x}{10}$

c)

$\sin\left(60\right)=\frac{x}{10}$

d)

$\sin\left(60\right)=\frac{10}{x}$

9.

Solve for x.

a)

2.3

b)

15.4

c)

2.5

d)

14.1

10.

Which trig ratio is used to solve for x?

a)

sine

b)

cosine

c)

tangent

11.

Which trig ratio is used to solve for x?

a)

sine

b)

cosine

c)

tangent

12.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

13.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

14.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

15.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

16.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

17.

What is the height of the tree? Round the the nearest foot.

a)

38 ft

b)

63 ft

c)

20 ft

d)

98 ft

18.

Solve for the missing angle. Round the nearest degree.

a)

50

b)

36

c)

37

d)

35

19.

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

a)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

20.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

21.

What is the ratio of Sin <D?

a)

sin<D = 4/5 = .8

b)

sin<D = 3/5=.6

c)

sin<D = 5/4 =1.25

d)

sin <D = 5/3 = 1.7

22.

Given the right Triangle i the diagram below, what is the appropriate trigonometric ratio needed to solve for x.

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

23.

How far is the person standing from lighthouse? Find x.

a)

33 feet

b)

80 feet

c)

54 feet

d)

18 feet

24.

Find x.

a)

31 ft

b)

59 ft.

c)

13 ft

d)

83 ft.

25.

When the sun is 62 degrees above the horizon, a building cast a shadow 18 meters long. How tall is the building?

a)

34 m

b)

16 m

c)

9 m

d)

11 m

26.

Kevin leans a 16 foot ladder l against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

27.

Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73^o, how far off the ground is Jordan?

a)

118.2 ft

b)

120.9 ft

c)

124.3 ft

d)

126.5 ft

28.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

29.

Which ratio represents the cos(θ)?

a)

x/y

b)

x/z

c)

y/x

d)

y/z

30.

if sin(x) = 52/65, find cos(x).

a)

cos(x) = 3/5

b)

cos(x) = 5/3

c)

cos(x) = 4/3

d)

cos(x) = 3/4

Trigonometry Unit Practice for Test

Total questions: 30

Worksheet time: 2hrs 13mins

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