1. What is Slope Angle?

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

2. How Does the Calculator Work?

The calculator uses the slope angle formula:

Where:

• \( \theta \) — Slope angle in degrees
• \( Slope \) — Rise over run ratio
• \( \arctan \) — Inverse tangent function
• \( \pi \) — Mathematical constant (approximately 3.1416)

Explanation: The formula converts the slope ratio (rise/run) to an angle in degrees using trigonometric functions and unit conversion.

3. Importance of Slope Calculation

Details: Accurate slope angle calculation is essential for construction projects, road design, wheelchair ramp installation, roof pitch determination, and geological studies to ensure safety and proper design.

4. Using the Calculator

Tips: Enter the slope as a ratio of vertical rise to horizontal run. For example, a slope of 1:4 would be entered as 0.25. The calculator will return the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between slope percentage and slope angle?
A: Slope percentage is rise over run multiplied by 100%, while slope angle is the actual angle in degrees from horizontal. A 45° angle equals 100% slope.

Q2: What are common slope angle ranges?
A: Gentle slopes: 0-15°, moderate slopes: 15-30°, steep slopes: 30-45°, very steep slopes: 45°+.

Q3: When is slope angle calculation important?
A: Critical for construction safety, drainage design, accessibility compliance, and terrain analysis in various engineering and architectural applications.

Q4: Are there limitations to this calculation?
A: This calculation assumes a straight, uniform slope and may not account for complex terrain or curved surfaces.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs, but real-world measurements may have practical limitations in accuracy.