Free Printable right triangle trigonometry

1.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

2.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

3.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

4.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

5.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

6.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

7.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

8.

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

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

9.

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

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

10.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

11.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

12.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

13.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

14.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

15.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

16.

Use Pythagorean Theorem to solve for x.

a)

8

b)

11.66

c)

16

d)

4

17.

Which set of numbers are possible lengths of a right triangle?

a)

I only

b)

I, II, & IV only

c)

III only

d)

I and IV only

18.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

19.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

20.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

a)

6

b)

8

c)

10

d)

not possible to determine

21.

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

a)

sine

b)

cosine

c)

tangent

d)

none of these

22.

Which expression is correct for "y"?

a)

y = tan^–1(31/23)

b)

y = sin^–1(31/23)

c)

y = cos^–1(31/23)

23.

Which is the best strategy to use for finding the length of the missing side?

a)

sine

b)

cosine

c)

tangent

d)

Pythagorean Theorem

24.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

25.

What is the cosine of θ?

a)

15/8

b)

15/17

c)

17/15

d)

8/15

26.

What is the tangent of angle C?

a)

7/25

b)

25/7

c)

7/24

d)

24/7

27.

What is the sine of A?

a)

7√65∕65

b)

7/65

c)

√7/65

d)

√65/7

28.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

29.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

30.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

31.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

32.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

33.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

34.

Which is the correct equation for finding the missing side of the triangle?

a)

$\sqrt{\left(82-18\right)^2}$

b)

$\sqrt{18^2-82^2}$

c)

$\sqrt{82^2+18^2}$

d)

$\sqrt{82^2-18^2}$

35.

State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in

a)

acute

b)

obtuse

c)

right

36.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

37.

^{Which is the correct setup to find the missing side?}

a)

$\sqrt{5^2-4^2}$

b)

$\sqrt{4^2-5^2}$

c)

$\sqrt{5^2+4^2}$

d)

$\sqrt{\left(5+4\right)^2}$

38.

Find the value of x.

a)

88

b)

78

c)

84

d)

74

39.

1. Find ∠ AOC

a)

130

b)

50

c)

40

40.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

right triangle trigonometry

Total questions: 40

Worksheet time: 1hrs 26mins

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