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.

cos−1 = θ

cos−1 = θ

sin−1 = θ

sin−1 = θ

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

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.

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.

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.

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.

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.

4.9°

6.2°

11.1°

17.2°

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

cos−1

sin−1

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.

32.8°

40.2°

49.8°

57.2°

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

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.

36.9°

41.4°

48.6°

53.1°

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

18.4°

19.5°

70.5°

71.6°

Solving for Side Lengths of Right Triangles — Unit test Answers

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