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G 9.5 Right Triangle Trig Day 1

Total questions: 32

Worksheet time: 1hrs 1mins

Name
Class
Date
1.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

2.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
3.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
4.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

5.

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

6.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
7.

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

8.

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

9.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

10.

Find the length of side x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

11.

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

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

12.

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

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

13.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
14.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
15.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
16.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

17.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

18.

"θ" is used to represent an unknown ____________.

a)

angle

b)

side

c)

hypotenuse

19.

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

20.

What is sin(A) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

21.

What is cos(A) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

22.

What is cos(c) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

23.

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

24.

Cos(Z)=

a)

1517\frac{\text{15}}{\text{17}}

b)

817\frac{\text{8}}{\text{17}}

c)

sin(x)

d)

tan(z)

25.

tan(A) = ?

a)

2021\frac{\text{20}}{\text{21}}

b)

2120\frac{\text{21}}{\text{20}}

c)

tan(C)

d)

BC‾BA‾\frac{\overline{BC}}{\overline{BA}}

26.

sin(A) = ?

a)

2021\frac{20}{21}

b)

2029\frac{20}{29}

c)

cos(A)

d)

cos(C)

27.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

28.

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

29.

Consider angle B in the diagram below.

What is the length of "adjacent side" to angle <B?

a)

6

b)

8

c)

10

d)

not possible to determine

30.

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

a)

sine

b)

cosine

c)

tangent

d)

none of these

31.

What is the most efficient way to find "x"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

32.

What is the most efficient way to find "y"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem