1. What is the Rise Over Run Angle?

The rise over run angle is the angle formed by a slope, calculated as the arctangent of the ratio between the vertical change (rise) and horizontal change (run). It's commonly used in construction, engineering, and various slope calculations.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle in degrees
• \( \text{rise} \) — Vertical distance (feet)
• \( \text{run} \) — Horizontal distance (feet)

Explanation: The arctangent function converts the slope ratio (rise/run) into an angle measurement.

3. Importance of Angle Calculation

Details: Calculating slope angles is essential for building ramps, roofs, roads, and other structures where proper incline affects safety and functionality.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (feet in this case). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between rise/run and percent grade?
A: Percent grade is (rise/run)*100, while the angle is the arctangent of rise/run. A 45° angle equals 100% grade.

Q2: What are typical angle ranges for different applications?
A: Wheelchair ramps: 4.8°-7.1° (8-12% grade), Roof pitches vary from 14° to 45°, Stairs: 30°-35°.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise, but actual construction should account for material properties and safety factors.

Q4: Can I use different units for rise and run?
A: The units must match (both in feet, both in meters, etc.), but the calculator will work with any consistent units.

Q5: What's the maximum possible angle?
A: Theoretically 90° (vertical), but practically most applications use much smaller angles for stability and safety.