Enter the horizontal and vertical lengths of a slope to determine the slope gradient and slope length.
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Ramp Slope Formula
The following formulas are used to calculate slope gradient and slope length respectively.
Slope Gradient = Y:X = Y/X
Slope Length = Sqrt(X^2+Y^2)
Ramp Slope Definition
A ramp slope is defined as the gradient or ratio of the height to the length of a ramp. The ramp slope is calculated by dividing the height of the ramp by the horizontal length.
How to calculate ramp slope?
Example Problem #1:
In these example problems, we will calculate both the slope gradient and the slope length.
First, determine the height of the ramp. For this problem, the height is measure as 2 ft.
Next, determine the horizontal length of the ramp. This is measured to be 100 ft.
Finally, calculate the gradient and the length using the formulas above:
Slope Gradient = 2/100
Slope Length = Sqrt(2^2+100^2)
= 100.02 ft.
Example Problem #2:
In this next problem, we have a ramp of 50ft high and horizontal length of 75ft.
Using the same formulas as the previous example:
Slope Gradient = 50/75
Slope Length = Sqrt(50^2+75^2)