Slope Angle Formula:
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Slope angle is the measure of steepness or incline of a surface, typically expressed in degrees. It represents the angle between the inclined surface and the horizontal plane.
The calculator uses the trigonometric formula:
Where:
Explanation: The ratio of rise to run (slope ratio) is calculated first, then the arctangent function converts this ratio to an angle in radians, which is then converted to degrees.
Details: Calculating slope angle is crucial in various fields including construction, civil engineering, landscaping, road design, and accessibility planning. It helps determine if a slope is safe for construction, meets regulatory requirements, or is suitable for specific purposes.
Tips: Enter the vertical rise and horizontal run in meters. Both values must be positive numbers. The calculator will compute the slope angle in degrees.
Q1: What's the difference between slope angle and slope percentage?
A: Slope angle is measured in degrees, while slope percentage is the ratio (rise/run) × 100%. A 45° angle equals a 100% slope.
Q2: What is considered a steep slope?
A: Generally, slopes above 30° are considered steep, but this varies by context. For wheelchair accessibility, slopes above 5° may be challenging.
Q3: Can I use different units of measurement?
A: Yes, as long as both rise and run use the same units (feet, meters, etc.), the angle calculation will be accurate.
Q4: What's the maximum possible slope angle?
A: The theoretical maximum is 90° (vertical), but practical limits depend on the material and application.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your rise and run measurements.