Free Printable Law of Sines CP

1.

Identify the Law of Sines

a)

$\sin^2x+\cos^2x=1$

b)

$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

c)

$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

d)

Soh Cah Toa

2.

Use the Law of Sines to solve for BC. Round to the nearest whole number.

(a)

3.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

4.

Calculate the length of AC

a)

30

b)

24

c)

27

d)

35

5.

Calculate the length of BC. Round to the nearest whole number.

(a)

6.

Find AB.

a)

A

b)

B

c)

C

d)

D

7.

Find BC

a)

A

b)

B

c)

C

d)

D

8.

Which equation shows how you would use the law of sines to find side c?

a)

$\frac{\sin41}{19}=\frac{\sin\ 75}{c}$

b)

$\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}$

c)

$\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}$

d)

$\frac{\sin19}{41}=\frac{\sin\ c}{75}$

9.

In ΔABC, m<C = 53, m<B = 44 and AC = 7. Find AB to nearest tenth.

a)

3.9

b)

6.1

c)

6.8

d)

8.0

10.

Calculate the length of BC

a)

24

b)

20

c)

27

d)

23

11.

Find m<B

a)

A

b)

B

c)

C

d)

D

12.

Find AC

a)

12

b)

10

c)

23

d)

14

13.

Find x, the measure of the angle.

a)

52

b)

33

c)

41

d)

29

14.

Solve the triangle Given: A=90 ° C=40 ° c=4

a)

a=10 b=60 ° b=6

b)

a=5 B=65.5 ° b=9

c)

a=10 B=50 ° b=9

d)

a=9 B=50 ° b=5

15.

What is the measure of angle A? Round to the nearest degree.

(a)

16.

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

a)

152.7 feet

b)

166.3 feet

c)

157.3 feet

d)

131.7 feet

17.

Use the Law of Sines to solve for BC

a)

33

b)

24

c)

12

d)

29

Law of Sines CP

Total questions: 17

Worksheet time: 2hrs 56mins

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