Solving for Angle Measures of Right Triangles

Question 1

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.

Revolt · Accepted Answer

sin(x) =

Question 2

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

Revolt · Accepted Answer

70°

Question 3

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.

Revolt · Accepted Answer

40.2°

Question 4

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

Revolt · Accepted Answer

19.5°

Question 5

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

Revolt · Accepted Answer

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.

Question 6

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.

Revolt · Accepted Answer

17.2°

Question 7

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

Revolt · Accepted Answer

m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Question 8

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

Revolt · Accepted Answer

44°

Question 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.

Revolt · Accepted Answer

tan(x) =

Question 10

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.

Revolt · Accepted Answer

tan−1 = x

Solving for Angle Measures of Right Triangles Answers

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