5.5 Law of Sines Quiz
1. What is side length a?
a. 12.855
b. 13.509
c. 11.904
d. 14.569
B
30°
°°°
☻
10
°°
40°
°°°
☻
°°
2. What is the measurement of angle C?
a. 77
b. 66
A
c. 78
d. 67
A
C
B
70°
°°°
☻
7
°°
33°
C
°°°
☻
°°
3. The shortest side of a triangle with angles 50°, 60°, and 70° has a length of 9. What is the length
of the longest side?
a. 11.0
b. 11.5
c. 12
d. 12.5
4. The length of x in the triangle shown at the right is?
a. 8.6
X
b. 15.0
c. 18.1
d. 19.1
5. Solve the triangle, if possible.
a. C= 76°, a=4.5, c=5.2
b. C=75°, a= 4.5, c=5.1
c. C=75°, a=4.3, c=3.2
d. C=76°, a=4.3, c=5.4
6. Solve the triangle, if possible.
a. B= 45°, b= 15.8, c=12.8
b. B=45°, b=14.3, c=12.8
c. B=43°, b=15.3, c=11.4
d. B=46°, b=14.9, c=13.8
95°
°°°
☻
°°
12
53°
°°°
☻
°°
C
a
3.7
A
60°
°°°
☻
°°
c
45°
°°°
☻
°°
B
B
c
22
C
35°
°°°
☻
°°
100°
b ☻°°
A
7. Solve the triangle, if possible.
a. C=37.2°, A=72.8, 18
b. C=37°, A=45, 19
c. C=37.2°, A=72.8, 14.2
d. C=37.2°, A=72.8, 15
B
70°
9 °°°
A ☻
°°
8. Solve the triangle, if possible.
a. B=34°, C=75°, a=23, b=34
b. Not possible
c. B=43°, C=87°, a=17, b=20
d. B=12°, C=112°, a=18, b=35
B
A
56°
°°°
☻
°°
C
c
A
47°
°°°
☻
°°
19 ft
2
c. 232.45 ft2
d. 189.76 ft
a
19
9. Find the area.
a. 250 ft2
b. 222.33 ft
C
14
B
2
10. Find the area.
a. 109 cm2
b. 150 cm2
c. 156 cm2
d. 107.98 cm2
C
10 cm
B
101°
☻°° 22 cm
A
32 ft
C