AnswersCA-Common Core Math II BUnit Test

Solving for Angle Measures of Right Triangles Answers

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1
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Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 13, the length of C B is 12, and the length of A C is 5. Angle C A B is x.

Question illustration
A
tan−1 = x
Option A
B
tan−1 = x
Option B
C
cos−1 = x
Option C
D
cos−1 = x
Option D
2
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A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

A
m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
B
m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
C
m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
D
m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
3

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°
4

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

A
36.9°
B
41.4°
C
48.6°
D
53.1°
5

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
6

The equation can be used to determine the measure of angle BAC.

Question illustration
A
19°
B
20°
C
70°
D
71°
7

In which triangle is the value of x equal to cos−1? (Images may not be drawn to scale.)

Question illustration
A
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.
Option A
B
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle opposite to side with length 4.3 is x.
Option B
C
A right triangle is shown. The length of the hypotenuse is 4.3 and the length of another side is 6.7. The angle between 2 sides is x.
Option C
D
A right triangle is shown. The length of the 2 sides are 6.7 and 4.3. The angle opposite to side with length 4.3 is x.
Option D

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