Question

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?

1. 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.
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The correct question is given below:
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.