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Slope Angle Formula:
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Slope angle calculation determines the angle of inclination from the horizontal plane using the ratio of vertical rise to horizontal run. This measurement is essential in various fields including construction, engineering, and geography.
The calculator uses the trigonometric formula:
Where:
Explanation: The arctangent function converts the ratio of rise over run into an angle measurement, providing the slope's degree of inclination.
Details: Accurate slope angle calculation is crucial for structural design, road construction, roof pitch determination, accessibility planning, and various engineering applications where proper incline is critical for safety and functionality.
Tips: Enter both rise and run values in consistent units (meters, feet, etc.). Both values must be positive numbers greater than zero for accurate calculation.
Q1: What units should I use for rise and run?
A: Use any consistent units (meters, feet, inches, etc.) as long as both measurements use the same unit system.
Q2: What is considered a steep slope?
A: Generally, slopes above 30 degrees are considered steep, while slopes above 45 degrees are very steep. The classification varies by application and local regulations.
Q3: Can I calculate slope percentage from degrees?
A: Yes, slope percentage = tan(θ) × 100%, where θ is the slope angle in degrees.
Q4: What's the difference between slope angle and slope ratio?
A: Slope angle is measured in degrees, while slope ratio is expressed as rise:run (e.g., 1:4 means 1 unit rise per 4 units run).
Q5: Are there limitations to this calculation?
A: This calculation assumes a straight-line slope and may not account for curved surfaces or complex terrain. For very precise applications, additional factors may need consideration.