AnswersKY-Geometry B-CRUnit Test

Unit Test — Unit test Answers

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21
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Which expressions can be used to find m∠ABC? Select two options.

A
cos−1
Option A
B
cos−1
Option B
C
cos−1
Option C
D
sin−1
Option D
E
sin−1
Option E
22
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Triangle J K M is shown. Angle J M K is a right angle. The length of hypotenuse K J is a, the length of J M is b, and the length of K M is c.

Question illustration
A
a is the hypotenuse, b is adjacent, c is opposite
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is opposite, c is the hypotenuse
D
a is opposite, b is the hypotenuse, c is adjacent
23

Find the length of . Use that length to find the length of .

Question illustration
A
2.3 cm
B
4.0 cm
C
10.7 cm
D
18.6 cm
24

Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypotenuse X Y is c.

Question illustration
A
a is opposite, b is adjacent, c is the hypotenuse
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is the hypotenuse, c is opposite
D
a is adjacent, b is opposite, c is the hypotenuse
25

Triangle G E F is shown. Angle G E F is a right angle. The length of hypotenuse F G is 14.5 and the length of F E is 11.9. Angle B F E is theta.

Question illustration
A
cos−1 = θ
Option A
B
cos−1 = θ
Option B
C
sin−1 = θ
Option C
D
sin−1 = θ
Option D
26

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length of A C is 4.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
27

The length of the hypotenuse, line segment AC, in right triangle ABC is 25 cm. The length of line segment BC is 15 cm.

A
31.0°
B
36.9°
C
53.1°
D
59.0°
28

What is the length of ? Round to the nearest tenth.

Question illustration
A
10.5 m
B
12.3 m
C
18.3 m
D
21.4 m
29

Two students describe the sides of right triangle ABC in relation to ∠B. TomasAB is the hypotenuse.AC is the opposite side.BC is the adjacent side.IlianaAB is the hypotenuse.BC is the opposite side.AC is the adjacent side.Who is correct? Explain.

Question illustration
A
Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B.
B
Iliana is correct; BC is opposite ∠B and AC is adjacent to ∠B.
C
Both are correct because both AC and BC are opposite ∠B.
D
Neither is correct because neither AC nor BC is opposite ∠B.
30

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building (along the ground).Approximately how long is the ramp? Round to the nearest tenth.

A
10.3 feet
B
10.4 feet
C
13.2 feet
D
38.6 feet
31

Triangle L M N is shown. Angle N L M is a right angle. The length of N L is 19.1 inches and the length of L M is 14.1 inches. Angle L N M is x and angle N M L is y.

Question illustration
A
4.9°
B
6.2°
C
11.1°
D
17.2°
32

Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.

Question illustration
A
StartFraction O N Over M N EndFraction
Option A
B
StartFraction M N Over M O EndFraction
Option B
C
StartFraction O N Over M O EndFraction
Option C
D
StartFraction M N Over O N EndFraction
Option D
33

Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees.

Question illustration
A
StartFraction R P Over R Q EndFraction
Option A
B
StartFraction R P Over P Q EndFraction
Option B
C
StartFraction R Q Over P Q EndFraction
Option C
D
StartFraction R Q Over P R EndFraction
Option D
34

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 4.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Option D
35

Which equation can be solved to find one of the missing side lengths in the triangle?

Question illustration
A
cos(60o) =
Option A
B
cos(60o) =
Option B
C
cos(60o) =
Option C
D
cos(60o) =
Option D
36

Which trigonometric ratios are correct for triangle DEF? Select three options.

A
sin(D) =
Option A
B
cos(E) =
Option B
C
tan(D) =
Option C
D
sin(E) =
Option D
E
tan(D) =
Option E
37

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 15.2 meters and the length of F E is 9 meters. Angle F G E is x.

Question illustration
A
sin(x) =
Option A
B
sin(x) =
Option B
C
cos(x) =
Option C
D
cos(x) =
Option D
38

Triangle M N L is shown. Angle M N L is a right angle. The length of N L is 15 and the length of hypotenuse M L is 25.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Five-thirds
Option D
39

Right triangle ABC is shown.

Question illustration
A
sin(50o) =
Option A
B
sin(50o) =
Option B
C
cos(50o) =
Option C
D
cos(50o) =
Option D
40

The measure of angle BAC can be calculated using the equation .

Question illustration
A
0°
B
1°
C
44°
D
48°

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