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Worksheets

Sine Rule Review

Total questions: 28

Worksheet time: 2hrs 35mins

Name
Class
Date
1.

Find the value of a.

a)

13.35

b)

12.91

c)

13.05

d)

12.83

2.

Find the value of c.

a)

19.43

b)

31

c)

15.16

d)

24.24

3.

Find the value of c.

a)

24.7

b)

28.2

c)

23.4

d)

25.3

4.

What is the measure of angle A?

a)

50 degrees

b)

60.63 degrees

c)

77.78 degrees

d)

74.5 degrees

5.

Find the missing angle θ

a)

27.98o

b)

29.24o

c)

26.75o

d)

45o

6.

Find the missing side x

a)

6.65cm

b)

1.74cm

c)

5.66cm

d)

7.14cm

7.

Find the missing side x

a)

60.5mm

b)

10.3mm

c)

30.1mm

d)

58.1mm

8.

Find the missing side x

a)

6.39cm

b)

12.7cm

c)

7.31cm

d)

8.13cm

9.
a)

10.05 cm

b)

7.24 cm

c)

8.53 cm

d)

9.23 cm

10.
Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  THe angle of elevation from Amanda to the bird is 55, and from Jamie tot he bird is 63.  How far away is the bird from Amanda?
a)
25.23
b)
23.19
c)
22.15
d)
20.85
11.
When using the sine rule how many parts (fractions) do you need to equate?
a)
All 3 parts
b)
1 part
c)
2 parts
12.

Which of the following CANNOT be applied to this triangle?

Select all that applies

a)

Sine Rule

b)

Trigonometry Ratio

c)

Pythagoras Theorem

d)

None of the above

13.

What is the measurement of anlge C

(a)  

14.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
15.

Find the size of angle X.

a)

0.6

b)

36.2

c)

36.9

d)

36.4

16.

Find the size of angle X.

a)

0.954

b)

72.5

c)

72.4

d)

72.3

17.

Find the value of a.

a)

13.4

b)

12.9

c)

13.0

d)

12.8

18.

Find the value of b.

a)

19.3

b)

20.0

c)

18.5

d)

19.0

19.

In triangle ABC shown below, AC = 14 km, AB = 28 km and angle ACB = 87 degrees. Select one of the following that can be used to find angle B

a)

28Sin B = 14Sin  87\frac{28}{Sin\ B}\ =\ \frac{14}{Sin\ \ 87}

b)

87Sin B = 14Sin  28\frac{87}{Sin\ B}\ =\ \frac{14}{Sin\ \ 28}

c)

14Sin B = 28Sin  87\frac{14}{Sin\ B}\ =\ \frac{28}{Sin\ \ 87}

d)

BSin 28 = 87Sin  14\frac{B}{Sin\ 28}\ =\ \frac{87}{Sin\ \ 14}

20.

Calculate the length of side AB. Give answer to 2 d.p.

(a)  

21.
a)

10.9 cm

b)

6 cm

c)

23.9 cm

d)

21.6 cm

22.
a)

10.1 cm

b)

7.2 cm

c)

8.5 cm

d)

9.3 cm

23.
a)

7.4 cm

b)

10.9 cm

c)

5.1 cm

d)

6.8 cm

24.
a)

25.8 cm

b)

8.7 cm

c)

9.5 cm

d)

23.7 cm

25.
a)

41.9o

b)

0.67o

c)

27.9o

d)

34.9o

26.
a)

16.1o

b)

64.2o

c)

16.2o

d)

64.3o

27.
a)

50.4o

b)

68.9o

c)

68.8o

d)

50.5o

28.
a)

57.3o

b)

77.4o

c)

57.7o

d)

37.6o