How to find an angle with cosine

Practice Questions

ACT Math › How to find an angle with cosine

Questions
7
1

A support beam (buttress) lies against a building under construction. If the beam is feet long and strikes the building at a point feet up the wall, what angle does the beam strike the building at? Round to the nearest degree.

2

A stone monument stands as a tourist attraction. A tourist wants to catch the sun at just the right angle to "sit" on top of the pillar. The tourist lies down on the ground meters away from the monument, points the camera at the top of the monument, and the camera's display reads "DISTANCE -- METERS". To the nearest degree, what angle is the sun at relative to the horizon?

3

Theta6

What is the value of in the right triangle above? Round to the nearest hundredth of a degree.

4

Soh_cah_toa

For the above triangle, and . Find .

5

Soh_cah_toa

For the above triangle, and . Find .

6

Soh_cah_toa

In the above triangle, and . Find .

7

A rope is thrown down from a building to the ground and tied up at a distance of from the base of the building. What is the angle measure between the rope and the ground? Round to the nearest hundredth of a degree_._

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