A 17-ft ladder is leaning against a building. if the base of the ladder is 5 ft from the base of the building. What is the angle of elevation of the ladder?

Answers

The angle of elevation of the ladder is 55.5 degrees.

What is the angle of elevation?

The angle of elevation is formed by the intersection of the horizontal line and the line of sight.

If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

The angle of elevation is the angle formed by the horizontal line of sight and the upward line of sight.

For instance, if we are standing on the ground and looking up at the peak of a mountain, we can calculate the angle of elevation.

To find what is the angle of elevation of the ladder:

cos(θ)= 17/30

θ = cos⁻¹(17/30) = 55.5 degrees

The angle would have been exactly 60 degrees if the 30-foot ladder had been 15 feet away.

Because 17 is slightly greater than 15, the angle is slightly less than 60.

Therefore, the angle of elevation of the ladder is 55.5 degrees.

A 30-foot ladder is leaning against a building. If the base of the ladder is 17 feet from the base of the building, find the angle of elevation. Round your answer to the nearest tenth.

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