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Worksheets

Right Triangle Trig | SOHCAHTOA

Total questions: 63

Worksheet time: 2hrs 10mins

Name
Class
Date
1.

What is the hypotenuse of the triangle shown?

a)

AB

b)

BC

c)

AC

d)

∠A

2.
a)
6.99
b)
6.33
c)
13.59
d)
7.83
3.
a)
20.35
b)
12.72
c)
14.99
d)
21.83
4.
a)
9.28
b)
2.87
c)
2.97
d)
8.76
5.
a)
6.09
b)
18.77
c)
5.52
d)
7.68
6.
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
7.

What is the value of w?

a)

17.998

b)

21.449

c)

23.495

d)

43.560

8.
Which is the correct ratio?
a)
sin 28 = x/14
b)
cos 28 = x/14
c)
tan 28 = x/14
d)
tan 28 = 14/x
9.

What is the value of x? Check rounding

a)

6.573

b)

26.330

c)

7.443

d)

7.444

10.

Find cos A

a)

30/16

b)

30/34

c)

30/15

d)

16/34

11.
 Find sinC
a)
21/35
b)
28/21
c)
35/28
d)
28/35
12.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

13.

Find tangent of θ.

a)

8/12

b)

23/12

c)

8/23

d)

12/23

14.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

15.
Which trigonometric ratio you would use to find side AB?
a)
Sin 60 = 10/AB
b)
Sin 60 = AB /10
c)

Cos 60 = 10 / AB

d)
tan 60 = AB /10
16.

What is the value of AB?

a)

17.321

b)

5

c)

8.660

d)

11.547

17.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
18.

What is the value of x? Check your rounding

a)

9.193

b)

18.385

c)

18.384

d)

9.192

19.
What is the correct equation to solve for x ?
a)
tan (58) = x/11
b)
tan (58) = 11/x
c)
cos (58) = x/11
d)
sin (58) = x/11
20.

What is the value of x?

a)

6.874

b)

17.604

c)

12.971

d)

20.758

21.
What is 5.5694 rounded to the nearest tenth?
a)
5.6
b)
6
c)
5.57
d)
5.69
22.
Which of the following is 4.52 when rounded to the nearest hundredth?
a)
4.453
b)
4.449
c)
4.512
d)
4.523
23.
Which of the following is true?
a)
1.99 rounded to the nearest tenth is 2.0
b)
2.01 rounded to the nearest tenth is 2.1
c)
11.14 rounded to the nearest whole number is 12
d)
16.342 rounded to the nearest hundredth is 16.33
24.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

25.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
26.
Round 5.592 to the nearest hundredth.
a)
5.60
b)
5.50
c)
6.59
d)
5.59
27.
Round 72.178 to the nearest hundredth.
a)
72.2
b)
72.18
c)
72
d)
73.18
28.
Round 47.941 to the nearest tenth.
a)
47.9
b)
48
c)
47.91
d)
48.1
29.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
30.
Round 5.592 to the nearest hundredth.
a)
5.60
b)
5.50
c)
6.59
d)
5.59
31.
Round 43.827 to the nearest hundredth.
a)
43.82
b)
43.83
c)
43.87
d)
44
32.

Round 113.899 to the nearest hundredths.

a)

113.89

b)

113.80

c)

113.9

d)

113.899

33.

Which side is the hypotenuse?

a)

5

b)

12

c)

13

34.

Which side is opposite of angle A?

a)

5

b)

12

c)

13

35.

Which side is adjacent to angle A?

a)

5

b)

12

c)

13

36.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
37.
What is the length of the side opposite ∠Z?
a)
16
b)
30
c)
34
38.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
39.
What is the length of the side adjacent to ∠A?
a)
30
b)
40
c)
50
40.
What is the length of the side opposite ∠A?
a)
30
b)
40
c)
50
41.

Which side is adjacent to ∠B?

a)

AB

b)

BC

c)

AC

d)

∠C

42.

What is the side opposite ∠A?

a)

AB

b)

BC

c)

AC

d)

∠B

43.
What is the length of the side adjacent to ∠X?
a)
7
b)
24
c)
25
44.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
45.

What is the hypotenuse of the triangle shown?

a)

AB

b)

BC

c)

AC

d)

∠A

46.

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

47.

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

48.

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

49.

Find the length of the missing side x...


Round your answer to 1 decimal place.

a)

8.7 cm

b)

10.2 cm

c)

12.3 cm

d)

8.6 cm

50.

What is the ratio for Cosine?

a)

OH\frac{O}{H}

b)

OA\frac{O}{A}

c)

AO\frac{A}{O}

d)

AH\frac{A}{H}

51.

What is the ratio for Tan

a)

OA\frac{O}{A}

b)

AO\frac{A}{O}

c)

OH\frac{O}{H}

d)

HO\frac{H}{O}

52.

What is the ratio for Sine?

a)

HO\frac{H}{O}

b)

OH\frac{O}{H}

c)

OA\frac{O}{A}

d)

AA\frac{A}{A}

53.
Fill in the blank...
SOH ___ TOA
a)
COH
b)
CAH
c)
COA
d)
CHA
54.
What is the value of x?
a)
17.30
b)
11.33
c)
0.06
d)
23.82
55.
What is the value of x?
a)
9.17
b)
98.13
c)
0.11
d)
26.69
56.
What is the value of x?
a)
4.20
b)
7.32
c)
0.14
d)
4.91
57.
What is the value of x?
a)
25
b)
13.23
c)
5.36
d)
625
58.
What is the value of x?
a)
960
b)
30.98
c)
43.91
d)
14.24
59.
What is the value of x?
a)
42.59
b)
0.03
c)
38.60
d)
8.39
60.
 Find cosA
a)
30/16
b)
30/34
c)
30/15
d)
16/34
61.
 Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
62.

Which Trig function would you use to solve this problem?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

63.
Which trig function would you use with this diagram?
a)
Sin
b)
Cos
c)
Tan
d)
Wha??