Solving for Angle Measures of Right Triangles Quiz

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

2,5 cos^-1=(6.3/9.8) sin^-1=(7.5/9.8)

Which expressions can be used to find m∠BAC? Select three options.

1,4,5 cos^-1= 6.9/12 sin^-1= 9.8/12 tan^-1= 9.8/6.9

Which is the best approximation for the measure of angle EGF?

40.2°

What is the measure of angle BAC? Round to the nearest whole degree.

44°

The length of the hypotenuse, line segment AC, in right triangle ABC is 25 cm. The length of line segment BC is 15 cm. Which is the approximate measure of angle ACB?

53.1° (C)

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. What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?

53.1° (D)

In which triangle is the value of x equal to cos−1 (4.3/6.7)? (Images may not be drawn to scale.)

First option: A

Which equation can be used to find the measure of angle GFE?

cos^−1 (11.9/14.5)= θ (B)

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches. What are the measures of the angles in triangle ABC?

m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90° (C)

Which equation can be used to solve for the measure of angle ABC?

tan(x)= 2.4/10 (A)