AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Solving for Angle Measures of Right Triangles Answers

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

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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
2
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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°
3

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

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

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

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
7

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°
9

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
10

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 inches. Angle F G E is x.

Question illustration
A
32.8°
B
40.2°
C
49.8°
D
57.2°

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