1. What is Rise Over Run Angle?

The rise over run angle, also known as the slope angle, is the angle formed between a line and the horizontal axis. It's calculated using the trigonometric arctangent function applied to the ratio of vertical change (rise) to horizontal change (run).

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \text{rise} \) — Vertical change (unitless)
• \( \text{run} \) — Horizontal change (unitless)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle in radians, which is then converted to degrees for the final result.

3. Importance of Angle Calculation

Details: Calculating rise over run angle is essential in various fields including construction, engineering, road design, and mathematics. It helps determine the steepness of slopes and is crucial for proper drainage, structural stability, and safety considerations.

4. Using the Calculator

Tips: Enter both rise and run values as unitless numbers. The run value must be greater than zero. The calculator will compute the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between slope and angle?
A: Slope is typically expressed as a ratio (rise:run) or percentage, while angle is measured in degrees and represents the actual inclination relative to the horizontal.

Q2: What is the maximum possible angle?
A: The maximum angle approaches 90 degrees as the slope becomes vertical, but cannot reach exactly 90 degrees as that would require an infinite rise or zero run.

Q3: How is this different from grade percentage?
A: Grade percentage is calculated as (rise/run) × 100%, while angle is the arctangent of (rise/run) converted to degrees.

Q4: Can this calculator handle negative values?
A: Yes, negative rise values will result in negative angles, indicating a downward slope.

Q5: What are typical applications of this calculation?
A: This calculation is used in construction for roof pitches, in civil engineering for road grades, in mathematics for line equations, and in various technical fields where inclination matters.