Your towns public library is building a new wheelchair ramp to it's entrance. By law, the maximum angle of incline for the ramp is 4.76°. The ramp will have a vertical rise of 2 ft. What is the shortest horizontal distance that the ramp can span?

Question

Your towns public library is building a new wheelchair ramp to it's entrance. By law, the maximum angle of incline for the ramp is 4.76°. The ramp will have a vertical rise of 2 ft. What is the shortest horizontal distance that the ramp can span?

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

To find the shortest horizontal distance the ramp can span, we can use trigonometry.

We know that the vertical rise of the ramp is 2 ft, and the maximum angle of incline is 4.76°. We can use the tangent function to find the horizontal distance (d) the ramp can span:

tan(4.76°) = 2 / d

Solving for d:

d = 2 / tan(4.76°)
d ≈ 25.33 ft

Therefore, the shortest horizontal distance the ramp can span is approximately 25.33 ft.