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Slope Length Calculation Formula

Slope Length Formula:

\[ Length = \sqrt{Run^2 + Rise^2} \]

ft
ft

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1. What is the Slope Length Formula?

The Slope Length Formula is based on the Pythagorean theorem and calculates the length of a slope given its horizontal run and vertical rise. This is essential in construction, landscaping, and engineering projects.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

\[ Length = \sqrt{Run^2 + Rise^2} \]

Where:

Explanation: The formula calculates the hypotenuse of a right triangle formed by the run and rise measurements.

3. Importance of Slope Length Calculation

Details: Accurate slope length calculation is crucial for determining material requirements, planning drainage systems, and ensuring structural integrity in construction projects.

4. Using the Calculator

Tips: Enter both run and rise values in feet. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units of measurement?
A: The calculator currently only supports feet. Convert other units to feet before calculation.

Q2: What's the difference between slope length and slope ratio?
A: Slope length is the actual diagonal distance, while slope ratio compares the vertical rise to horizontal run (e.g., 1:4).

Q3: How accurate is this calculation?
A: The calculation is mathematically precise for straight slopes. It may need adjustment for curved surfaces.

Q4: Can this formula be used for roof pitch calculations?
A: Yes, this is the standard method for calculating rafter length from roof run and rise.

Q5: What if I only know the angle and one measurement?
A: You would need to use trigonometric functions (sine, cosine) instead of the Pythagorean theorem.

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