Solving for Angle Measures of Right Triangles

Question 1

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

Question 2

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 3

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

Revolt · Accepted Answer

44°

Question 4

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 5

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.

Revolt · Accepted Answer

53.1°

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

The length of the hypotenuse, line segment AC, in right triangle ABC is 25 cm. The length of line segment BC is 15 cm.

Revolt · Accepted Answer

53.1°

Question 8

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 9

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 10

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

Revolt · Accepted Answer

70°

Solving for Angle Measures of Right Triangles Answers

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