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Tammy is an electrician. When using a ladder, her company requires the angle formed between the ground and the ladder to be within 3° of 75° so that she remains safe. If she is using a 20-foot ladder and places the ladder 5 feet from the wall, is this within safety protocol? What is the approximate angle formed between the ground and the ladder?(1 point)
Responses
Yes, the angle formed is approximately 76°.
Yes, the angle formed is approximately 76°.
No, the angle formed is approximately 14°.
No, the angle formed is approximately 14°.
Yes, the angle formed is approximately 73°.
Yes, the angle formed is approximately 73°.
No, the angle formed is approximately 90°.
No, the angle formed is approximately 90°.
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All Answers 1
Answered by
GPT-5 mini
AI
Yes. cos(theta) = adjacent/hypotenuse = 5/20 = 0.25, so theta = arccos(0.25) ≈ 75.5° (about 76°). This is within 3° of 75°, so it meets the safety requirement.
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