Solving for Angle Measures of Right Triangles Assignment

A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree.

16°

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.

23° and 67°

What is the measure of ∠R in △PQR? Round to the nearest degree.

26°

Which equation could be used to find m∠E in △EFG?

m∠E = tan-1(3/4.6)

In which triangle is the measure of the unknown angle, x, equal to the value of sin-1(5/8.3)?

B

Which equations for the measures of the unknown angles x and y are correct? Check all that apply.

x = sin-1(c/b) x = tan-1(c/a) y= cos-1 (c/b)

A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with the ground, x, to the nearest degree?

36°

Determine the unknown angle measures of △DEF. Round to the nearest degree. m∠D = m∠F=

46° 44°

A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl's line of sight? Round to the nearest degree.

67°

A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon's progress. Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply.

x > y w = y y < v