ALG. 2 CH. 14.3-14.5 QUIZ PREVIEW
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.In XYZ, Y is a right angle and . Find cosX in fraction and in decimal form. Round to the nearest hundredth, if necessary.
a. / / b. / / c. / / d. /Find the length x. Round to the nearest tenth.
____2.
a. / 33.8 / b. / 48.3 / c. / 84.3 / d. / 72.0____3.
a. / 88.8 / b. / 72.0 / c. / 59.5 / d. / 53.5____4.In , is a right angle. Find to the nearest tenth of a degree.
a. / 20.4 / b. / 68.2 / c. / 42.9 / d. / 21.8Find the angle measure to the nearest tenth of a degree.
____5.
a. / 0.2° / b. / 11.7° / c. / 78.3° / d. / 1.4°____6.
a. / 1° / b. / 31.1° / c. / 58.9° / d. / 0.5°____7.
a. / 0.1° / b. / 86.1° / c. / 1.5° / d. / 3.9°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 / c. / = 54.1°, = 35.9°, b = 4.7b. / = 59.6°, = 30.4°, b = 4.7 / d. / = 35.9°, = 54.1°, b = 4.7
____9.Find the area of the triangle. Round your answer to the nearest tenth.
a. / 9.2 m2 / b. / 6.0 m2 / c. / 8 m2 / d. / 12.1 m2____10.Use the Law of Sines. Find to the nearest tenth.
a. / 106.2 / b. / 118.1 / c. / 61.9 / d. / 73.8Find 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°, = 45.3°b. / = 44.7°, = 40.1°, = 95.2°
c. / = 84.8°, = 45.3°, = 49.9°
d. / = 40.1°, = 44.7°, = 95.2°
____12.Use the Law of Cosines. Find to the nearest tenth of a degree.
a. / 33.9 / b. / 57.7 / c. / 46.3 / d. / 85.7____13.In , j = 9 in., k = 5 in., and = 43°. Find .
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.
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 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?
a. / 207.4 ft / b. / 224.3 ft / c. / 169.3 ft / d. / 198.7 ftShort Answer
16.In , g = 8 ft, h = 13 ft, and = 72°. Find . Round your answer to the nearest tenth.
17.Use the Law of Cosines. Find b to the nearest tenth.
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.
In , is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
20.a = 3, c = 19
Find the angle measure to the nearest tenth of a degree.
21.
22.Find the measure of x in the right triangle.
Find the length x. Round to the nearest tenth.
23.
24.
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.
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?
ALG. 2 CH. 14.3-14.5 QUIZ PREVIEW
Answer Section
MULTIPLE CHOICE
1.ANS:C
2.ANS:B
3.ANS:B
4.ANS:D
5.ANS:B
6.ANS:B
7.ANS:B
8.ANS:C
9.ANS:B
10.ANS:D
11.ANS:D
12.ANS:A
13.ANS:D
14.ANS:A
15.ANS: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°, = 80.9°, b = 18.8
21.ANS:
82.8°
22.ANS:
67.6°
23.ANS:
3.4
24.ANS:
78.8
25.ANS:
26.ANS:
128 feet