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Calculate Slope In Degrees

Slope Formula:

\[ \text{Degrees} = \arctan\left(\frac{\text{Rise}}{\text{Run}}\right) \]

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1. What is Slope In Degrees?

Slope in degrees represents the angle of inclination or gradient of a surface, measured from the horizontal plane. It is commonly used in various fields including construction, engineering, and geography to describe steepness.

2. How Does the Calculator Work?

The calculator uses the slope formula:

\[ \text{Degrees} = \arctan\left(\frac{\text{Rise}}{\text{Run}}\right) \]

Where:

Explanation: The formula calculates the angle by taking the arctangent of the ratio between vertical rise and horizontal run.

3. Importance of Slope Calculation

Details: Calculating slope in degrees is essential for proper drainage design, road construction, roof pitch determination, and ensuring safety in various construction and engineering projects.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (e.g., meters, feet). Both values must be positive numbers, with run greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope percentage and degrees?
A: Slope percentage is (Rise/Run)×100%, while degrees use trigonometric calculation. 45° equals 100% slope.

Q2: What is considered a steep slope?
A: Generally, slopes above 30° are considered steep, while slopes above 45° are very steep and may require special considerations.

Q3: Can I use negative values for rise?
A: This calculator uses absolute values. For downward slopes, the result represents the angle of declination.

Q4: What are typical slope ranges for different applications?
A: Wheelchair ramps: 4.8-7.2°, Roof pitches: 18-45°, Ski slopes: 25-45°, Highway grades: typically under 6°.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your rise and run measurements.

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