What Is Slope Length?
Slope length is the distance measured along an inclined surface. It forms the hypotenuse of a right triangle, with the vertical rise and horizontal run as its other two sides.
- Rise: Vertical change in height
- Run: Horizontal distance
- Slope length: Diagonal distance along the incline
Formula to Calculate Slope Length
L=Rise2+Run2
This formula comes from the Pythagorean theorem:
Hypotenuse2=Rise2+Run2
Use the same unit for rise and run. The resulting slope length will be in that unit.
Example Calculation
Suppose a slope has a rise of 3 meters and a run of 4 meters.
L=32+42
L=9+16=25=5 m
The slope length is 5 meters.
Conclusion
The Length of Slope Calculator helps you find the diagonal distance of an incline from its rise and run. It can support preliminary measurements for construction, landscaping, roofing, and ramp planning. For projects with safety or accessibility requirements, confirm the design against applicable standards.
FAQs
1. Do rise and run need to use the same units?
Yes. Convert them to the same unit before calculating. The result will use that unit.
2. Is slope length the same as horizontal run?
No. The run is the horizontal distance, while slope length is the longer diagonal distance along the incline.
3. Can I use this calculator for a ramp or roof?
Yes. It can estimate the diagonal length from the rise and run. For construction, roofing, or accessibility projects, verify measurements and applicable design requirements.
4. What if I know the slope angle instead of the run?
You’ll need the rise or run and the slope angle to calculate the missing measurement. This calculator uses rise and run as its inputs.
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