Whether you're working on construction projects, landscaping, roofing, or accessibility ramps, knowing the length of a slope is essential. The Length of Slope Calculator simplifies this by determining the actual slope length (hypotenuse) using the given rise (vertical change) and run (horizontal distance).

Understanding Slope Length

The length of a slope is the diagonal distance from the bottom to the top of an inclined surface. It forms the hypotenuse of a right-angled triangle, where:

• Rise = Vertical height (change in elevation)
• Run = Horizontal distance (base of the slope)
• Slope Length = The actual length along the incline

Formula to Calculate Length of Slope

$L = \sqrt{(\text{Rise}^2 + \text{Run}^2)}$

Where:

• L = Length of the slope
• Rise = Vertical height
• Run = Horizontal distance
• √ = Square root function

This formula is derived from the Pythagorean Theorem, which states:

$\text{Hypotenuse}^2 = \text{Base}^2 + \text{Height}^2$

Example Calculation

Let’s calculate the length of a slope for a rise of 3 meters and a run of 4 meters.

Step 1: Identify Given Values

• Rise = 3 meters
• Run = 4 meters

Step 2: Apply the Formula

$L = \sqrt{(3^2 + 4^2)}$

$L = \sqrt{(9 + 16)}$

$L = \sqrt{25}$

$L = 5 \text{ meters}$

Thus, a slope with a 3-meter rise and a 4-meter run has a total length of 5 meters.

Conclusion

A Length of Slope Calculator is an essential tool for professionals in construction, engineering, and landscaping. By simply entering the rise and run, you can instantly determine the slope length, ensuring accurate measurements and efficient planning.