1. What is Slope Angle?

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

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

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

Explanation: The arctangent function converts the ratio of vertical rise to horizontal run into an angle measurement, providing the slope's inclination relative to horizontal.

3. Importance of Slope Angle Calculation

Details: Accurate slope angle calculation is essential for construction projects, road design, roof pitching, wheelchair ramp compliance, geological surveys, and safety assessments in various industries.

4. Using the Calculator

Tips: Enter the vertical rise and horizontal run in meters. Both values must be positive numbers greater than zero. The calculator will output the slope angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between slope angle and gradient?
A: Slope angle is measured in degrees, while gradient is typically expressed as a ratio or percentage (rise/run × 100%).

Q2: What are common slope angle ranges?
A: 0-5° (gentle), 5-15° (moderate), 15-30° (steep), 30-45° (very steep), 45°+ (extremely steep).

Q3: When is slope angle calculation important?
A: Critical for construction safety, drainage design, accessibility compliance, geological stability, and agricultural planning.

Q4: Are there limitations to this calculation?
A: Assumes a straight-line slope; for curved surfaces, multiple measurements may be needed. Accuracy depends on precise rise and run measurements.

Q5: How does slope angle relate to safety?
A: Steeper slopes increase erosion risk, construction challenges, and safety hazards. Many building codes specify maximum allowable slope angles.