Practice with Law of Sines and Cosines

MCR3U
Name___________________________________
Practice with Law of Sines and Cosines
Date________________
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SINE LAW Find each measurement indicated. Round your answers to the nearest tenth.
1) Find ST
2) Find ST
R
57 yd
R
27°
16°
T
S
29 m
16°
75°
T
3) Find HP
H
11 yd
S
4) Find m A
A
K
93°
29 m
25°
58°
C
25 m
B
P
5) Find m A
6) Find m B
B
A
50 m
35 ft
C
122°
24 m
B
92°
A
17 ft
C
COSINE LAW Find each measurement indicated. Round your answers to the nearest tenth.
7) Find AB
8) Find AC
C 11.2 yd A
C
84.4°
30 cm
28.4 yd
B
76°
20 cm
A
B
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Worksheet by Kuta Software LLC
9) Find m B
10) Find m B
22 ft
A
11 ft
B
C
9.6 cm
12 ft
B
A
8.8 cm
C
14.2 cm
MIXED PRACTICE Solve each triangle. Round your answers to the nearest tenth.
11)
12)
A
29.7 m
61.9°
C
9 yd
11.6 m
102°
B
B
13)
14)
C
C
107°
29 mi
14 mi
15 km
43°
B
110°
A
A
B
15)
16)
C
A
B
A
23 yd
C
29°
8 ft
B
C
17)
65°
18)
A
A
8 ft 35.9°
C
A
11 mi
15.5 cm
B
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B
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48°
C
Worksheet by Kuta Software LLC
Answers to Practice with Law of Sines and Cosines
1) 37.9 yd
2) 8 m
5) 24°
6) 29°
9) 146.1°
10) 100.9°
12) m B = 19.6°, m C = 58.4°, a = 26.4 yd
14) m A = 30°, c = 21 km, a = 11 km
16) m A = 25°, a = 4.6 mi, b = 10 mi
18) m A = 42°, a = 14 cm, c = 20.9 cm
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3) 26 yd
4) 47°
7) 29.5 yd
8) 31.8 cm
11) m B = 23.1°, m C = 95°, a = 26.3 m
13) m C = 43°, m A = 27°, c = 21 mi
15) m A = 61°, a = 14.4 ft, c = 16.5 ft
17) m B = 54.1°, a = 5.8 ft, c = 9.9 ft
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Worksheet by Kuta Software LLC