Solving for Angle Measures of Right Triangles

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

a. tan(x) = 2.4/10

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)

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)

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

b. cos-1 (11.9/14.5) = Ø

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

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

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

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°

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 is the best approximation for the measure of angle EGF?

b. 40.2°

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

a.

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

b. 39.8°

What is the approximate value of y-x?

d. 17.2°

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°

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

b. sin(x) = 9/15.2

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