Rise and Run of Slopes
The grade (also called slope, incline, gradient, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal.
The grade percent is the slope rise divided by the slope run. The tangent of the slope angle also equals the grade percent.
Formula
![{QuantityVariable["s", "Unitless"] == QuantityVariable["h", "Distance"]/QuantityVariable["x", "Distance"], Tan[Quantity[1, "Radians"^(-1)]*QuantityVariable["α", "Angle"]] == QuantityVariable["s", "Unitless"]}](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/a83/a833e303-dbdf-4002-aff7-172f4d193770/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| s | grade percent | "Unitless" |
| h | slope rise | "Distance" |
| x | slope run | "Distance" |
| α | slope angle | "Angle" |