The formulas to calculate the slope gradient and slope length are:
\[ \text{Slope Gradient} = \frac{Y}{X} \]
\[ \text{Slope Length} = \sqrt{X^2 + Y^2} \]
Where:
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. The slope length is the hypotenuse of the right triangle formed by the height and horizontal length of the ramp.
Let's assume the following values:
Using the formulas:
\[ \text{Slope Gradient} = \frac{3}{4} = 0.75 \]
\[ \text{Slope Length} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \, \text{units} \]
The Slope Gradient is 0.75 and the Slope Length is 5 units.
Let's assume the following values:
Using the formulas:
\[ \text{Slope Gradient} = \frac{5}{12} = 0.42 \]
\[ \text{Slope Length} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \, \text{units} \]
The Slope Gradient is 0.42 and the Slope Length is 13 units.
