____
ALG. 2 CH. 14.3-14.5 QUIZ PREVIEW
3.
Multiple Choice
Identify the choice that best completes the statement or
answers the question.
x
____
1. In XYZ, Y is a right angle and
.
Find cos X in fraction and in decimal form.
Round to the nearest hundredth, if necessary.
42°
80
Z
____
25
a. 88.8
b. 72.0
c. 59.5
4. In
,
is a right angle. Find
nearest tenth of a degree.
d. 53.5
to the
B
20
x
X
a.
Y
b.
64.6
c.
d.
A
Find the length x. Round to the nearest tenth.
____
60
a. 20.4
2.
24
C
b. 68.2
c. 42.9
d. 21.8
Find the angle measure to the nearest tenth of
a degree.
x
59
____
5.
a. 0.2°
____
a. 1°
b. 48.3
c. 84.3
d. 72.0
d. 1.4°
b. 31.1°
c. 58.9°
d. 0.5°
c. 1.5°
d. 3.9°
7.
a. 0.1°
a. 33.8
c. 78.3°
6.
55 °
____
b. 11.7°
b. 86.1°
In
,
is a right angle. Find the
remaining sides and angles. Round your
answers to the nearest tenth.
____
8. a = 3.4, c = 5.8
a.
= 30.4°,
= 59.6°, b = 4.7
b.
= 59.6°,
= 30.4°, b = 4.7
c.
= 54.1°,
= 35.9°, b = 4.7
d.
= 35.9°,
= 54.1°, b = 4.7
____
9. Find the area of the triangle. Round your answer____ 12. Use the Law of Cosines. Find
to the nearest tenth.
tenth of a degree.
to the nearest
B
C
17
4 m
B
49°
A
22
30
C
4 m
a. 33.9 b. 57.7 c. 46.3 d. 85.7
a. 9.2 m2 b. 6.0 m2 c. 8 m2
d. 12.1 m2
____ 13. In
, j = 9 in., k = 5 in., and
= 43°. Find
____ 10. Use the Law of Sines. Find
to the nearest
.
tenth.
a. 28°
b. 59°
c. 32°
d. 75°
____ 14. In
, b = 7, c = 10, and
= 146°. Find a.
Round your answer to the nearest tenth.
C
a. 16.3
b. 14.4
c. 5.7
d. 6.2
____ 15. On a baseball field, the pitcher’s mound is 60.5
feet from home plate. During practice, a batter
hits a ball 216 feet deep. The path of the ball
makes a 34° angle with the line connecting the
69
pitcher and the catcher, to the right of the
pitcher’s mound. An outfielder catches the ball
and throws it to the pitcher. How far does the
outfielder throw the ball?
67°
B
a. 106.2
A
72
b. 118.1
c. 61.9
d. 73.8
Find the remaining sides and angles in the
triangle. Round your answers to the nearest
tenth.
____ 11. a = 11, b = 12, and c = 17
a.
= 84.8°,
= 49.9°,
b.
= 44.7°,
= 40.1°,
c.
= 84.8°,
= 45.3°,
d.
= 40.1°,
= 44.7°,
= 45.3°
= 95.2°
= 49.9°
= 95.2°
A
Find the remaining sides and angles in the
triangle. Round your answers to the nearest
tenth.
18.
?
= 55°,
= 44°, and b = 68
19. Use the Law of Sines. Find b to the nearest tenth.
216 ft
C
60.5 ft
31
34 
b
42°
a. 207.4 ft b. 224.3 ft c. 169.3 ft d. 198.7 ft
64°
B
A
Short Answer
16. In
Find
tenth.
In
,
is a right angle. Find the
remaining sides and angles. Round your
answers to the nearest tenth.
, g = 8 ft, h = 13 ft, and
= 72°.
. Round your answer to the nearest
17. Use the Law of Cosines. Find b to the nearest
tenth.
20. a = 3, c = 19
Find the angle measure to the nearest tenth of
a degree.
21.
C
22. Find the measure of x in the right triangle.
60
b
8
x
21
48°
B
85
A
Find the length x. Round to the nearest tenth.
23.
10
35
ft
x
20 °
25 
24.
Drawing is not to scale.
87
25°
x
25. In XYZ, Y is a right angle and
. Find
sin Z in fraction and in decimal form. Round to
the nearest hundredth, if necessary.
Z
5
X
4
Y
26. The line of sight from a small boat to the light at
the top of a 35-foot lighthouse built on a cliff 25
feet above the water makes a 25° angle with the
water. To the nearest foot, how far is the boat
from the cliff?
25 ft
ALG. 2 CH. 14.3-14.5 QUIZ PREVIEW
Answer Section
26. ANS:
128 feet
MULTIPLE CHOICE
1.
2.
3.
4.
5.
ANS:
ANS:
ANS:
ANS:
ANS:
C
B
B
D
B
6.
7.
8.
9.
10.
ANS:
ANS:
ANS:
ANS:
ANS:
B
B
C
B
D
11.
12.
13.
14.
15.
ANS:
ANS:
ANS:
ANS:
ANS:
D
A
D
A
C
SHORT ANSWER
16. ANS:
35.9°
17. ANS:
63.2
18. ANS:
= 81°, a = 80.2, c = 96.7
19. ANS:
23.1
20. ANS:
= 9.1°,
21. ANS:
82.8°
22. ANS:
67.6°
23. ANS:
3.4
24. ANS:
78.8
25. ANS:
= 80.9°, b = 18.8