Free Printable TRIGONOMETRY REVIEW

1.

Which of the following is a right triangle?

a)

b)

c)

d)

2.

a)

The triangle has three sides with equal lengths.

b)

The triangle has only two sides with equal lengths.

c)

The triangle has only two sides with equal lengths.

d)

The triangle has one angle that is equal to 90 degrees.

3.

Which triangle is a right triangle?

a)

b)

c)

d)

4.

What is the measure of the side of the triangle that is adjacent to angle A

a)

13

b)

12

c)

5

d)

not enough information given

5.

What is the measure of the side of the triangle that is opposite to angle A

a)

13

b)

12

c)

5

d)

not enough information given

6.

What is the measure of the hypotenuse?

a)

13

b)

12

c)

5

d)

not enough information given

7.

What is the SINE 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)

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

8.

What is the COSINE 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)

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

9.

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)

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

10.

"θ" is used to represent an unknown ____________.

a)

angle

b)

side

c)

hypotenuse

11.

Which of the following is the correct acronym to help remember the three trigonometric ratios

a)

SOH COH TOA

b)

SAH COH TOA

c)

SOH CAH TOH

d)

SOH CAH TOA

12.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

13.

What is cos(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

14.

What is cos(c) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

15.

TRUE OR FALSE: You can find the sine of any angle in any triangle

a)

True- Can be any triangle!

b)

False- Must be a right triangle

16.

Cos(Z)=

a)

$\frac{\text{15}}{\text{17}}$

b)

$\frac{\text{8}}{\text{17}}$

c)

sin(x)

d)

tan(z)

17.

tan(A) = ?

a)

$\frac{\text{20}}{\text{21}}$

b)

$\frac{\text{21}}{\text{20}}$

c)

tan(C)

d)

$\frac{\overline{BC}}{\overline{BA}}$

18.

sin(A) = ?

a)

$\frac{20}{21}$

b)

$\frac{20}{29}$

c)

cos(A)

d)

cos(C)

19.

a)

7/25

b)

24/7

c)

25/7

d)

25/24

20.

a)

5/3

b)

3/5

c)

4/3

d)

4/5

21.

a)

5/13

b)

5/12

c)

8/15

d)

12/5

22.

a)

3/4

b)

5/3

c)

4/5

d)

^{Sqt 2/2}

23.

a)

15.5

b)

16.9

c)

18.5

d)

17.7

24.

a)

22.2

b)

30

c)

33

d)

38

25.

a)

57.1

b)

51.7

c)

47

d)

40.1

26.

a)

69.4

b)

49.4

c)

68.2

d)

48.3

27.

Convert to degrees

a)

-270 degrees

b)

-135 degrees

c)

-130 degrees

d)

-140 degrees

28.

Convert to degrees

a)

270 degrees

b)

230 degrees

c)

185 degrees

d)

460 degrees

29.

Convert to radians 390 degrees

a)

b)

c)

d)

30.

A reference angle has...

a)

to be negative, obtuse and has to be in the y- axis

b)

to be positive, acute and has to have the terminal side and standard position

c)

to negative, acute and has to have the terminal side and standard position

d)

to positive, obtuse and has to have the terminal side and standard position

31.

Unit Circle is

a)

A circle with radius 3

b)

A triangle that measures 1 cm

c)

A triangle with radius 1

d)

A circle with radius 1

32.

A right triangle is a

a)

A triangle with an obtuse triangle

b)

A quadrilateral with one right angle

c)

A triangle with one right angle

d)

A triangle with two right angles

33.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

34.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

35.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

36.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

37.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

38.

Convert to degrees

a)

-270 degrees

b)

-135 degrees

c)

-130 degrees

d)

-140 degrees

39.

Convert to degrees

a)

270 degrees

b)

230 degrees

c)

185 degrees

d)

460 degrees

40.

Convert to radians 390 degrees

a)

b)

c)

d)

41.

Find tan 89 to the nearest hundredth?

a)

.54

b)

1

c)

.02

d)

57.29

42.

Which function represents the graph?

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin ( ⅓ x)

d)

f(x) = sin (3 x)

43.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

44.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

45.

What is the equation of this graph?

a)

y = sin x

b)

y = cos x

c)

y = tan x

46.

What is the equation of this graph?

a)

y = sin x

b)

y = cos x

c)

y = tan x

47.

What is the equation of this graph?

a)

y = sin x

b)

y = cos x

c)

y = tan x

48.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

49.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

50.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

51.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

52.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

53.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

54.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

55.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

56.

Solve for the triangle:

a)

AB = 14 , < A = 48.59, <B = 41.41

b)

AB = 10 , <A = 36.87 , <B= 53. 13

c)

AB = 10, <A = 53.13 , <B=36.87

57.

Find the exact value of x.

a)

√29

b)

√7

c)

7

d)

10

58.

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

59.

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

a)

118.2 ft

b)

120.9 ft

c)

124.3 ft

d)

126.5 ft

60.

A sailing boat, which was supposed to be travelling north, veered off course and travelled N 45° E for a distance of 0.64 km, as shown. How far east had the sailing boat travelled? Give your answer to 2 decimal places.

a)

0.45 km

b)

1.28 km

c)

0.64 km

d)

1.09 km

61.

A kite is on a 300-ft string. The angle of elevation from the ground to the kite is 39°. Which is the best estimate of the height of the kite above the ground?

a)

629 feet

b)

243 feet

c)

189 feet

d)

233 feet

62.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

63.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

64.

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

a)

32√3

b)

16√3

c)

32

d)

16√2

65.

What if the value of x?

a)

16

b)

12

c)

4

d)

64

66.

Find the value of x.

a)

15√5

b)

5√5

c)

5√3

d)

3√5

67.

Find the value of x.

a)

2√7

b)

7√2

c)

√28

d)

28

68.

What are Bearings in maths?

a)

A bearing is an angle, measured clockwise from the north direction.

b)

A bearing is an angle, measured counter - clockwise from the north direction.

c)

A bearing is an angle, measured clockwise from the east direction.

d)

A bearing is an angle, measured counter - clockwise from the east direction.

e)

Any normal angle

69.

What is the measure of the angle with a Bearing of 45 degrees?

a)

315 degrees counter - clockwise

b)

45 degrees clockwise

c)

135 degrees clockwise

d)

45 degrees counter - clockwise

70.

What is
the correct bearing?

a)

30

b)

330

c)

030

d)

60

71.

Write the bearings of A from O

a)

125

b)

055

c)

035

d)

305

72.

Choose the correct true bearing

a)

75

b)

255

c)

195

d)

075

73.

Choose the correct true bearing

a)

62

b)

062

c)

332

d)

152

74.

what is the true bearing of A from B

a)

50

b)

050

c)

140

d)

320

75.

What is the correct notation of a Bearing measuring Fifty degrees

a)

050 degrees

b)

50 degrees clockwise

c)

50 degrees

d)

5.0 into 10 raised to 1 degrees

e)

050 degrees clockwise

76.

Anne wants to know the height of a tree which is 64 feet away from her. If the angle of elevation is 38^o, how tall is the tree to the nearest tenth of a foot?

a)

50.0

b)

39.4

c)

50.4

d)

81.9

77.

The angle of depression from the top of a building to the base of a statue is 72^o. If the statue is 40 feet from the building, determine the height of the building. Round to the nearest foot.

a)

27 feet

b)

123 feet

c)

12 feet

d)

132 feet

78.

Find the length of the ramp. Round to the nearest tenth.

a)

1.3 feet

b)

4.2 feet

c)

12.7 feet

d)

12.0 feet

79.

A plane is 80 miles south and 95 miles east of Cleveland Hopkins International Airport. What bearing should be taken to fly directly to the airport?

a)

N 49.9^o W

b)

S 40.1^o E

c)

N 40.1^o W

d)

S 49.9^o E

80.

A plane is flying 600 miles per hour and has a bearing of N 52^o E. After flying 1.5 hours, how far north will the plane have traveled from its point of departure? Round to the nearest mile.

a)

1462 miles

b)

1152 miles

c)

709 miles

d)

554 miles

81.

What is the bearing

a)

215

b)

035

c)

30

d)

145

82.

What is the correct bearing

a)

304

b)

44

c)

56

d)

056

83.

What is the bearing of B from A

a)

025

b)

205

c)

25

d)

155

84.

What is
the Bearing
of A
from B?

a)

45

b)

130

c)

045

d)

135

85.

What is
the Bearing
of B
from A?

a)

45

b)

225

c)

045

d)

135

86.

What is
the Bearing
of C
from A?

a)

45

b)

225

c)

045

d)

135

87.

What is
the Bearing
of A
from C?

a)

315

b)

225

c)

045

d)

135

88.

What is
the correct bearing?

a)

30

b)

330

c)

030

d)

60

89.

In Diagram 2, K, L and M are three points on the flat ground. Given that KLM is an equilateral triangle, find the bearing of L from M.
Dalam Rajah 2, K, L dan M adalah tiga titik pada tanah mengufuk. Diberi KLM ialah segitiga sisi sama, cari bearing L dari M.

a)

068

b)

128

c)

188

d)

248

90.

E, F and G lie on the earth’s surface. The bearing of G from F is
E, F dan G terletak pada permukaan bumi. Bearing G dari F ialah

a)

028

b)

105

c)

208

d)

255

91.

The bearing of U from V is 150^o. The bearing of T from U is
Bearing U dari V ialah 150^o. Bearing T dari U ialah

a)

351

b)

330

c)

171

d)

009

92.

The bearing of A from B is 028°. The bearing of C from A is
Bearing A dari B ialah 028^o. Bearing C dari A ialah

a)

064

b)

144

c)

152

d)

208

93.

P, Q and R lie on the earth’s surface. The bearing of Q from R is
P, Q dan R terletak pada permukaan bumi. Bearing Q dari R ialah

a)

045

b)

078

c)

258

d)

290

94.

E, F and G on a horizontal plane. F is due east of G. The bearing of F from E is 140°. Given that EF = EG, find the bearing of G from E.
E, F dan G terletak pada satah mengufuk. F terletak di timur C. Bearing F dari E ialah 140^o . Diberi EF = EG, cari bearing G dari E.

a)

050

b)

080

c)

220

d)

300

95.

a)

A

b)

B

c)

C

d)

D

96.

What rule should you use?

a)

Sine

b)

Cosine

97.

What rule should you use?

a)

Sine

b)

Cosine

98.

What rule should you use?

a)

Sine

b)

Cosine

99.

What rule should you use?

a)

Sine

b)

Cosine

100.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

101.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

102.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

103.

When using the sine rule how many parts (fractions) do you need to equate?

a)

All 3 parts

b)

1 part

c)

2 parts

104.

Which of the following formulas is the Cosine rule?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

105.

Find the missing side x

a)

2.36cm

b)

9.21cm

c)

3.16cm

d)

4.51cm

106.

Find the missing angle θ

a)

68^o

b)

133^o

c)

116^o

d)

121^o

107.

Find the missing angle θ

a)

27.9^o

b)

29.2^o

c)

26.8^o

d)

45^o

108.

Triangle ABC has side a = 3, side b = 5, and side c = 7. Find the size of angle A.

a)

22⁰

b)

38⁰

c)

120⁰

d)

150⁰

109.

Find the length of AB

a)

10

b)

8

c)

6.1

d)

4.9

TRIGONOMETRY REVIEW

Total questions: 109

Worksheet time: 4hrs 25mins

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