A 4:1 slope has what grade and angle?

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Multiple Choice

A 4:1 slope has what grade and angle?

Explanation:
A 4:1 slope means 4 units of horizontal distance for every 1 unit of vertical rise. That gives a grade of rise over run: 1/4 = 0.25, or 25%. To find the angle, use tan θ = rise/run = 1/4, so θ = arctan(0.25) ≈ 14 degrees. So the correct combination is a 25% grade with about 14 degrees. If you reversed the ratio (1 horizontal per 4 vertical), you’d get 400% and a much steeper angle, which isn’t among the options.

A 4:1 slope means 4 units of horizontal distance for every 1 unit of vertical rise. That gives a grade of rise over run: 1/4 = 0.25, or 25%. To find the angle, use tan θ = rise/run = 1/4, so θ = arctan(0.25) ≈ 14 degrees. So the correct combination is a 25% grade with about 14 degrees. If you reversed the ratio (1 horizontal per 4 vertical), you’d get 400% and a much steeper angle, which isn’t among the options.

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