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Unit 9 Lesson 7 Law of Sines

Total questions: 23

Worksheet time: 2hrs 50mins

Name
Class
Date
1.
Identify the Law of Sines
a)
Sin2x + Cos2x =1
b)
Sin(A)/a = Sin(B)/b = Sin(C)/c
c)
Sin(A)Sin(B)Sin(C) = 1
d)
Soh-Cah-Toa
2.
Find AB.
a)
A
b)
B
c)
C
d)
D
3.
Find BC.
a)
A
b)
B
c)
C
d)
D
4.
Find BC
a)
A
b)
B
c)
C
d)
D
5.
Find AC
a)
12
b)
10
c)
23
d)
14
6.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
7.
Find x, the measure of the angle.
a)
52
b)
33
c)
41
d)
29
8.

find X

a)

52

b)

33

c)

41

d)

29

9.
Find m<B
a)
A
b)
B
c)
C
d)
D
10.
Calculate the length of AC
a)
30
b)
24
c)
27
d)
35
11.
Calculate the length of BC
a)
24
b)
20
c)
27
d)
23
12.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
13.

Solve for x.

a)

24.3

b)

155.7

c)

24.3 and 155.7

d)

not possible.

14.
Find AB.
a)
A
b)
B
c)
C
d)
D
15.
Find BC
a)
A
b)
B
c)
C
d)
D
16.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
17.
solve the triangle:
A=65 C=65 a=12
a)
B=50, b=9.9, c=12
b)
B=50, b=10.1, c=12
c)
B=70, b=12.8, c=12
d)
B=40 b=11.2, c=12
18.
Solve each triangle. A=40, B=20, a=2
a)
C=120, b=1.06, c=2.69
b)
C=135, b= 1.56, c=2.50
c)
C= 120, b=2.68. c=3.26
d)
C=45, b=1.06, c=2
19.

Which equation shows how you would use the law of sines to find angle A?

a)

sin4426=sin A23\frac{\sin44}{26}=\frac{\sin\ A}{23}

b)

sin 2644=sin 23A\frac{\sin\ 26}{44}=\frac{\sin\ 23}{A}

c)

sin 4423=sin A26\frac{\sin\ 44}{23}=\frac{\sin\ A}{26}

d)

sin2344=sin 26A\frac{\sin23}{44}=\frac{\sin\ 26}{A}

20.

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

a)

sin4119=sin 75c\frac{\sin41}{19}=\frac{\sin\ 75}{c}

b)

sin 6419=sin 75c\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}

c)

sin 1964=sin c75\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}

d)

sin1941=sin c75\frac{\sin19}{41}=\frac{\sin\ c}{75}

21.

Find mYm\angle Y   to the nearest tenth.

a)

39°39\degree  

b)

34°34\degree  

c)

35.1°35.1\degree  

d)

30°30\degree  

22.
find X
a)
52
b)
33
c)
41
d)
29
23.

Find the value of x.

-round to the tenths

(a)