Free Printable Trigonometry Practice

1.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

2.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

3.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

4.

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

a)

Sine

b)

Cosine

c)

Tangent

5.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

6.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

7.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

8.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

9.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

10.

Choose the correct ratio.

a)

cos(57)=x/20

b)

sin(57)=x/20

c)

cos(57)=20/x

d)

sin(57)=20/x

11.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

12.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

13.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

14.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

15.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

16.

Which expression is correct for "y"?

a)

y = tan^–1(31/23)

b)

y = sin^–1(31/23)

c)

y = cos^–1(31/23)

17.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

18.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

19.

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

a)

31.5 feet

b)

24.6 feet

c)

51.2 feet

d)

57.4 feet

20.

A 16 foot ladder leans 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

21.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

22.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

23.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

24.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

25.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

26.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.3 cm

b)

16.7 cm

c)

11.8 cm

d)

8.4 cm

27.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

28.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

5.7 cm

b)

5.8 cm

c)

17.1 cm

d)

8.6 cm

29.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

10.3 cm

b)

10.2 cm

c)

17.5 cm

d)

8.6 cm

30.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

31.

What is the correct ratio set up for finding the tangent of Angle A? Remember: Tangent = opposite/adjacent

a)

20/12

b)

12/20

c)

12/16

d)

16/12

32.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

33.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

34.

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

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

35.

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

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

36.

Find the length of side W?

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

37.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

38.

How many degrees is angle b? Round your answer to 1 decimal place & don't include degrees in your answer.

(a)

39.

Find the length of the side marked X. Give your answer correct to 1 decimal place. Do not include the units in your answer.

(a)

40.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

41.

What is the TANGENT ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

$\frac{\text{opposite}}{\text{adjacent}}$

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

42.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

43.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH

44.

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

45.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

46.

Calculate sin Z. Make sure your fraction is simplified (reduced to lowest terms).

a)

3/5

b)

32/24

c)

32/40

d)

24/40

47.

Calculate cos X. Make sure your fraction is simplified (reduced to lowest terms).

a)

6/10

b)

6/8

c)

8/10

d)

4/5

48.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

49.

Solve for x. Round your answer to the nearest tenth.

a)

10

b)

11.3

c)

12.0

d)

15.0

50.

Find the length of side x. Round your answer to the nearest tenth.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

51.

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

52.

Look at the picture... Since this is a sine problem, how would you set it up?

a)

$\sin\left(x\right)=\frac{8}{11}$

b)

$\sin\left(8\right)=\frac{x}{11}$

c)

$\sin\left(\frac{8}{11}\right)=x$

d)

$\sin\left(11\right)=\frac{8}{x}$

53.

Using the same picture... Since this situation becomes $\sin^{-1}\left(\frac{8}{11}\right)=\ x$ , what is x equal to? Use your calculator and round to the nearest tenth.

a)

$46.7\degree$

b)

$56.7\degree$

c)

$36.7\degree$

d)

$66.7\degree$

54.

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

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

55.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

56.

How can you identify the hypotenuse of any right triangle?

a)

the shortest side

b)

the side attached to the right angle

c)

the side directly across from the right angle

d)

the side directly across from the most acute angle

57.

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

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

58.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

59.

What is the value of x?

a)

9.17

b)

98.13

c)

0.11

d)

26.69

60.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

61.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

62.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

63.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

64.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

65.

Which side is opposite angle x?

a)

1

b)

2

c)

3

66.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

67.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

68.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

69.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

70.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH

71.

$\sin\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

72.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

73.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

74.

If a triangle has side lengths 5, 12 and 13, which side is the hypotenuse?

a)

5

b)

13

c)

12

d)

25

e)

144

75.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

76.

In the acronym SOH CAH TOA, what does SOH mean?

a)

$\sin\theta=\frac{opp}{hyp}$

b)

$\cos\theta=\frac{opp}{hyp}$

c)

$\sin\theta=\frac{hyp}{opp}$

d)

$\sin\theta=\frac{adj}{hyp}$

77.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

78.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

79.

How can you identify the hypotenuse of any right triangle?

a)

the shortest side

b)

the side attached to the right angle

c)

the side directly across from the right angle

d)

the side directly across from the most acute angle

80.

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

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

81.

Which side is opposite of angle A?

a)

5

b)

12

c)

13

82.

Which side is adjacent to angle A?

a)

5

b)

12

c)

13

83.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

84.

What is the length of the side opposite ∠Z?

a)

16

b)

30

c)

34

85.

What is the length of the side adjacent to ∠Z?

a)

16

b)

30

c)

34

86.

What is the length of the side adjacent to ∠X?

a)

7

b)

24

c)

25

87.

What is the length of the side opposite ∠A?

a)

30

b)

40

c)

50

88.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

89.

What is the value of x?

a)

9.17

b)

98.13

c)

0.11

d)

26.69

Trigonometry Practice

Total questions: 89

Worksheet time: 4hrs 13mins

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