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8 August, 15:16

What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)

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  1. 8 August, 16:47
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    10.5%

    Step-by-step explanation:

    The tangent of the angle is the ratio of rise to run.

    tan (angle) = grade

    tan (6°) ≈ 0.105 = 10.5%

    The grade will be 10.5% for an angle of elevation of 6°.
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