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In Mathematics / High School | 2014-11-12

A 7-foot ladder is leaned against a building so that the bottom of the ladder is 4 feet from the base of the wall. Find the angle formed between the ladder and the ground.

Asked by Eyes97

Answer (2)

Treat this situation as a right-angled triangle. I have attached a picture below.
cos θ = 7 4 ​
⇒ θ = cos − 1 7 4 ​ = 55 ° 2s.f.

Answered by superkoopasirf | 2024-06-10

The angle formed between the 7-foot ladder and the ground, with the bottom being 4 feet from the wall, can be calculated using cosine. The angle θ is approximately 55.2 degrees. This is derived from the cosine formula for right triangles.
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Answered by superkoopasirf | 2024-12-26