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.
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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