1. What is Rise Over Run Angle?

The rise over run angle is the angle formed by a line or surface relative to the horizontal, calculated from the ratio of vertical change (rise) to 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 arctangent function:

Where:

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

Explanation: The arctangent function converts the ratio of opposite side (rise) to adjacent side (run) in a right triangle to the corresponding angle.

3. Applications of Angle Calculation

Details: This calculation is essential for roof pitch determination, road grading, wheelchair ramp design, and any application where slope angle needs to be precisely measured.

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. The calculator will output the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between angle and slope percentage?
A: Angle is measured in degrees while slope percentage is (rise/run)×100. A 45° angle equals 100% slope.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise, assuming accurate input measurements and a consistent slope.

Q3: Can I use different units for rise and run?
A: The units must be consistent (both in feet, both in meters, etc.) as the calculation uses their ratio.

Q4: What's the maximum angle this can calculate?
A: Theoretically up to 90° (vertical), though practical applications typically involve much smaller angles.

Q5: How does this relate to grade in construction?
A: In construction, grade is often expressed as a percentage, which can be converted from angle using tangent.