1. What is Slope Angle?

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

2. How Does the Calculator Work?

The calculator uses the slope angle formula:

Where:

• \( \theta \) — Slope angle in degrees
• \( Rise \) — Vertical height difference
• \( Run \) — Horizontal distance

Explanation: The arctangent function converts the ratio of rise over run into an angle measurement, providing the slope angle in degrees.

3. Importance of Slope Angle Calculation

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

4. Using the Calculator

Tips: Enter rise and run values in consistent units (both in meters, feet, etc.). Ensure both values are positive numbers greater than zero for accurate calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between slope angle and slope percentage?
A: Slope angle is measured in degrees, while slope percentage is calculated as (Rise/Run) × 100%. 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, vehicle traction assessment, and erosion control planning.

Q4: Are there limitations to this calculation?
A: Assumes a straight line slope. For curved surfaces, multiple measurements may be needed. Does not account for surface friction or material properties.

Q5: How accurate is this calculation?
A: Mathematical accuracy is high when precise rise and run measurements are provided. Field accuracy depends on measurement precision.