Length Of Slope Formula:
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The Length Of Slope calculation determines the actual distance along a sloped surface using the vertical rise and horizontal run measurements. This calculation is based on the Pythagorean theorem from geometry.
The calculator uses the Pythagorean theorem formula:
Where:
Explanation: This formula calculates the hypotenuse of a right triangle, where the rise and run form the two perpendicular sides.
Details: Accurate slope length calculation is essential for construction projects, landscaping, road design, and any application where precise measurements of inclined surfaces are required.
Tips: Enter both rise and run values in feet. All values must be valid positive numbers greater than zero.
Q1: Can I use different units for rise and run?
A: No, both measurements must use the same units (feet in this calculator) for accurate results.
Q2: What if I only know the angle and one measurement?
A: You would need to use trigonometric functions (sine, cosine) to calculate the missing measurement first.
Q3: How accurate is this calculation?
A: The calculation is mathematically precise when accurate measurements are provided.
Q4: Can this be used for steep slopes?
A: Yes, the Pythagorean theorem works for any right triangle, regardless of the slope angle.
Q5: What are common applications of slope length calculation?
A: Roofing, ramp construction, hiking trail planning, drainage systems, and architectural design.