AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Solving for Angle Measures of Right Triangles Answers

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

Question illustration
A
0°
B
1°
C
44°
D
48°
2
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Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle X Y Z is x.

Question illustration
A
33.6°
B
39.8°
C
50.2°
D
56.4°
3

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
4

Which expressions can be used to find m∠BAC? Select three options.

A
cos−1
Option A
B
cos−1
Option B
C
sin−1
Option C
D
sin−1
Option D
E
tan−1
Option E
5

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

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

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
8

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
9

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 10.3 centimeters, the length of C B is 10 centimeters, and the length of A C is 2.4 centimeters. Angle A B C is x.

Question illustration
A
tan(x) =
Option A
B
tan(x) =
Option B
C
sin(x) =
Option C
D
sin(x) =
Option D
10

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°

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