Free Printable Trigonometry Part 2

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

12.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

13.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

14.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

(9√2)/2

15.

Find the value of x.

a)

3 sqrt(2)

b)

3

c)

6 sqrt(2)

d)

6

16.

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

17.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

18.

Find the lengths of the missing sides.

a)

$x=7,y=7\sqrt{3}$

b)

$x=7\sqrt{3},y=7$

c)

$x=7\sqrt{2},y=7\sqrt{6}$

d)

$x=7\sqrt{6},y=7\sqrt{2}$

19.

Find the lengths of the missing sides.

a)

$x=18\sqrt{3},y=36\sqrt{3}$

b)

$x=18,y=12\sqrt{3}$

c)

$x=6,y=12$

d)

$x=12\sqrt{3},y=24\sqrt{3}$

20.

Find the lengths of the missing sides.

a)

$x=8\sqrt{2},y=16\sqrt{2}$

b)

$x=4,y=8$

c)

$x=4\sqrt{2},y=16$

d)

$x=4\sqrt{2},y=8$

21.

$use\ \tan\theta=\frac{opposite}{adjacent}$

What is the angle x that a plane took off at if it is 300 feet high and 400 feet away from where it started?

a)

75 degrees

b)

18 degrees

c)

37 degrees

d)

90 degrees

22.

$\sin\theta=\frac{3}{4}$

If you are given this information, what is the value of the angle θ

a)

75 degrees

b)

49 degrees

c)

13 degrees

d)

60 degrees

23.

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

24.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

25.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

26.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

27.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

28.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

29.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

30.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

31.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

32.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

33.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

34.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

35.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

36.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

37.

Which is the correct set up to solve for x?

a)

sin 72 = 6 / x

b)

cos 72 = 6 / x

c)

tan 72 = 6 / x

38.

Which is the correct set up to solve for x?

a)

sin 24 = x / 12

b)

cos 24 = x / 12

c)

tan 24 = x / 12

39.

Which is the correct set up to solve for x?

a)

cos 55 = x / 29

b)

sin 55 = 29 / x

c)

tan 55 = 29 / x

d)

cos 29 = x / 55

40.

How do you locate the hypotenuse on a right triangle?

a)

It's across from angle A.

b)

It's always on the left side.

c)

It's across from the right angle.

d)

It is the shortest side.

41.

Use trig ratios (SOH CAH TOA) to solve for x

a)

5.0

b)

6.1

c)

7.7

d)

6.4

42.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

43.

Use trig ratios (SOH CAH TOA) to solve for x

a)

50.7

b)

50.1

c)

60.7

d)

61.0

44.

Sketch this triangle on a sheet of paper and find the values for all of the angles (m<a, and m<c) and the lengths of all the sides (length of AB and BC) The next 4 questions will ask you for these values.

Finding all of these angles and sides is called solving the triangle.

What is the measure of <C?

a)

25 degrees

b)

90 degrees

c)

28 degrees

d)

there is not enough information to figure it out

45.

Sketch this triangle on a sheet of paper and find the values for all of the angles (m<a, and m<c) and the lengths of all the sides (length of AB and BC) The next 4 questions will ask you for these values.

Finding all of these angles and sides is called solving the triangle.

What is the measure of <A?

a)

25 degrees

b)

90 degrees

c)

28 degrees

d)

there is not enough information to figure it out

46.

Sketch this triangle on a sheet of paper and find the values for all of the angles (m<a, and m<c) and the lengths of all the sides (length of AB and BC) The next 4 questions will ask you for these values.

Finding all of these angles and sides is called solving the triangle.

What is the length of side BC?

a)

about 25 units

b)

about 13.29 units

c)

about 28 units

d)

there is not enough information to figure it out

47.

Sketch this triangle on a sheet of paper and find the values for all of the angles (m<a, and m<c) and the lengths of all the sides (length of AB and BC) The next 4 questions will ask you for these values.

Finding all of these angles and sides is called solving the triangle.

What is the length of side AB?

a)

about 62 units

b)

about 13.29 units

c)

about 28.31 units

d)

there is not enough information to figure it out

48.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

49.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

50.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

33°

b)

49°

c)

39°

d)

41°

51.

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

a)

30.8

b)

32.1

c)

34.3

d)

36.9

52.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

53.

Solve for x.

a)

25

b)

65

c)

error

d)

.0074

54.

Solve for x.

a)

50

b)

40

c)

41

d)

49

55.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

49°

b)

57°

c)

45°

d)

54°

56.

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

a)

66.4

b)

63.4

c)

47.8

d)

69.4

57.

Solve for the missing angle.

a)

50

b)

0.053

c)

36.9

d)

95

58.

Solve for x.

a)

50

b)

40

c)

41

d)

49

59.

Solve for x.

a)

25

b)

65

c)

error

d)

.0074

60.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

61.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

33°

b)

49°

c)

39°

d)

41°

62.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

63.

Which trig equation would you use to find the measure of the indicated angle (?)

a)

$\tan\left(\theta\right)=\frac{5}{4}$

b)

$\sin\left(\theta\right)=\frac{4}{5}$

c)

$\cos\left(\theta\right)=\frac{5}{4}$

d)

$\cos\left(\theta\right)=\frac{4}{5}$

64.

Which trig equation would you use to find the measure of the indicated angle (?)

a)

$\cos\left(?\right)=\frac{23}{28}$

b)

$\sin\left(?\right)=\frac{23}{28}$

c)

$\tan\left(?\right)=\frac{23}{28}$

d)

$\tan\left(?\right)=\frac{28}{23}$

65.

What should be typed into a calculator (in degree mode) to solve for x?

a)

$\sin\left(\frac{3}{7}\right)$

b)

$\sin^{-1}\left(\frac{3}{7}\right)$

c)

$7\sin^{-1}\left(3\right)$

d)

$\sin^{-1}\left(\frac{7}{3}\right)$

66.

From a point 80 meters from the base of a tower, the angle of elevation to the top of the tower is $28\degree.$ How tall is the tower? Round to the nearest hundredth. (Draw a picture)

(a)

67.

A ladder that is 20ft. long is leaning against the side of a building. If the angle formed between the ladder and the ground is $75\degree,$ how far is the bottom of the ladder from the base of the building? Round to the nearest hundredth. (Draw a picture).

(a)

68.

When the sun is $62\degree$ above the horizon, a building cast a shadow 18m long. How tall is the building? Round to the nearest hundredth. (Draw a picture).

(a)

69.

A kite is flying at an angle of elevation of about $55\degree$ . Ignoring the sag in the string, find the height of the kite if 85 m of string have been let out. Round to the nearest hundredth. (Draw a picture).

(a)

70.

A wire is attached to the top of the tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a $65\degree$ angle with the ground, how long is the wire?

(a)

71.

The angle of depression from the top of a tower to a boulder on the ground is $38\degree$ . If the tower is 25 m high, how far from the base of the tower is the boulder?Round to the nearest hundredth. (Draw a picture).

(a)

72.

An observer at the top of a building sees a car on the road below. The angle of depression to the car is $28\degree$ . If the car is about 50 m from the building when it is seen, how tall is the building? Round to the nearest hundredth. (Draw a picture).

(a)

73.

A man in a hot air balloon 20,000 ft. in the air sees a tree below at angle of depression of $11\degree$ . How far is the man from the tree? Round to the nearest hundredth. (Draw a picture).

(a)

74.

A 100 ft. building casts a 300 ft. shadow from the sun. What is the angle of depression? Round to the nearest degree. (Draw a picture).

(a)

75.

Simplify

\sqrt{24}

a)

$4\sqrt{6}$

b)

$2\sqrt{6}$

c)

$6\sqrt{2}$

d)

$6\sqrt{4}$

76.

Simplify:

\sqrt{98}

a)

$7\sqrt{2}$

b)

$2\sqrt{7}$

c)

$49\sqrt{2}$

d)

$2\sqrt{49}$

77.

Simplify:

10\sqrt{96}

a)

$40\sqrt{6}$

b)

$160\sqrt{6}$

c)

$96\sqrt{10}$

d)

$60\sqrt{16}$

78.

Simplify:

3\sqrt{125}

a)

$75\sqrt{3}$

b)

$8\sqrt{5}$

c)

$15\sqrt{5}$

d)

$15\sqrt{25}$

79.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

80.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

81.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

82.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

83.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

84.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

85.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

86.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

87.

Simplify √60

a)

2√15

b)

12

c)

4√15

d)

3√5

88.

√243

a)

3√3

b)

9√3

c)

81√3

d)

3√81

89.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

90.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

91.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

92.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

93.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

94.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

95.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

96.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

97.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

98.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

Trigonometry Part 2

Total questions: 98

Worksheet time: 5hrs 51mins

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