AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Solving for Angle Measures of Right Triangles Answers

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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
2
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The equation can be used to determine the measure of angle BAC.

Question illustration
A
19°
B
20°
C
70°
D
71°
3

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

Question illustration
A
0°
B
1°
C
44°
D
48°
4

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
5

The length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm.

A
18.4°
B
19.5°
C
70.5°
D
71.6°
6

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
7

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
8

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°
9

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
10

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°

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