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I suppose you mean road gradients which are specified in percent. This means the amount of rise or fall per unit of distance. Thus a gradient of 1 in 5, which means a rise or fall of 1 unit in 5 units of distance, would be stated as 20 percent, that is 20 in 100, which is the same as 1 in 5.

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15y ago
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14y ago

Percent grade is the rise divided by the run, or the slope, times 100. Since rise divided by run is slope, and this is the tangent of the angle, the formula is: tan-1(% grade/100). For example, if I wanted to convert a 33% grade to an angle, it would be: tan-1(33/100) = 18.2629 degrees.

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14y ago

degrees = arctan((percent grade)/100)

percent grade = tan(degrees) * 100

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