Solving for Angle Measures of Right Triangles

In which triangle is the value of x equal to cos-1 (4.3/6.7)?

a.

Which expressions can be used to find m<ABC? Check all that apply.

cos-1 (6.3/9.8) sin-1 (7.5/9.8)

What is the approximate value of y-x?

d. 17.2°

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

b. 40.2°

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

b. cos-1 (11.9/14.5) = Ø

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

b. sin(x) = 9/15.2

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

b. tan-1 (12/5) = x

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?

c. m<A ~~ 73.7°, m<B ~~ 16.3°, m<C~~ 90°

Which expressions can be used to find m<BAC? Check all that apply.

cos-1 (6.9/12) sin-1 (9.8/12) tan-1 (9.8/6.9)

The measure of angle BAC can be calculated using the equation sin-1 (3.1/4.5) = x. What is the measure of angle BAC? Round to the nearest whole degree.

44

The equation cos-1 (3.4/10) = x can be used to determine the measure of angle BAC. What is the degree measure of angle BAC? Round to the nearest whole degree.

70

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

a. tan(x) = 2.4/10

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

b. 39.8°

The length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm. Which is the approximate measure of angle JGH?

b. 19.5°

Larissa dives into a pool that is 8 feet deep. She touched 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?

d. 53.1°