Free Printable Right Triangle Trigonometry

1.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

2.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

3.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

4.

a)

32.58

b)

57.42

c)

31.44

d)

59.02

5.

a)

6.09

b)

18.77

c)

5.52

d)

7.68

6.

a)

34.64

b)

40.00

c)

23.09

d)

38.23

7.

a)

39.89

b)

33.29

c)

56.71

d)

42.93

8.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

9.

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

a)

33°

b)

49°

c)

39°

d)

41°

10.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

11.

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

12.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

13.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

14.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

15.

SinA = CosA for what value of A ?

a)

A=90°

b)

A=60°

c)

A=45°

d)

A=30°

16.

Find the length of the ramp.

a)

5.7

b)

44.6

c)

41.7

d)

17.1

17.

Find angle CDB.

a)

68.7

b)

21.3

c)

19.3

d)

22

18.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

19.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

20.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

21.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

22.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

23.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

24.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

25.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

26.

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

27.

The length across from the right angle in a triangle is called the ...........

a)

cosine

b)

tangent

c)

hypotenuse

d)

sine

28.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

29.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

30.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

31.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

32.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

33.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

34.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

35.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

36.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

37.

Solve for x.

a)

16

b)

11

c)

50

d)

6

38.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

39.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

40.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

41.

Solve for x.

a)

6

b)

-10

c)

7

d)

-9

42.

a)

A

b)

B

c)

C

d)

D

43.

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

44.

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

45.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

46.

If tanθ = 3/4, what is cosθ? (Hint: Draw the triangle out!)

a)

3/5

b)

4/5

c)

4/3

d)

3/4

47.

To use the Pythagorean Theorem, we need...

a)

A triangle with 2 known angles

b)

A right triangle with 2 known angles

c)

A triangle with 2 known sides

d)

A right triangle with 2 known sides

48.

Solve the right triangle.

a)

<B = 39^o, AB = 11.58, AC = 7.29

b)

<B = 39^o, AB = 7.29, AC = 11.58

c)

<B = 129^o, AB = 11.58, AC = 7.29

d)

<B = 129^o, AB = 7.29, AC = 11.58

49.

Solve the right triangle.

a)

<A = 34^o, <C = 56^o, AC = 5.59

b)

<A = 56^o, <C = 34^o, AC = 5.59

c)

<A = 34^o, <C = 56^o, AC = 9.01

d)

<A = 56^o, <C = 34^o, AC = 9.01

50.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

51.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

52.

Which of the following is another way of solving for x other than: $\sin\left(20\right)=\frac{10}{x}$

a)

$\sin\left(70\right)=\frac{10}{x}$

b)

$\cos\left(70\right)=\frac{10}{x}$

c)

$\sin\left(20\right)=\frac{x}{10}$

d)

$\tan\left(20\right)=\frac{10}{x}$

53.

Which of the following would be an appropriate angle to make the statement below true?

cos(50) = sin( ___ )

a)

50°

b)

130°

c)

40°

Right Triangle Trigonometry

Total questions: 53

Worksheet time: 11hrs 29mins

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