1. What is the Ramp Angle Formula?

The ramp angle formula calculates the angle of inclination of a ramp using the ratio of its vertical rise to horizontal run. This trigonometric relationship is fundamental in construction, engineering, and accessibility design.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Angle of the ramp in degrees
• \( rise \) — Vertical height change
• \( run \) — Horizontal length change
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle whose tangent equals the ratio of rise to run, providing the ramp's angle of inclination.

3. Importance of Ramp Angle Calculation

Details: Accurate ramp angle calculation is crucial for accessibility compliance, safety standards, structural integrity, and proper functionality of inclined surfaces.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (meters, feet, etc.). Run must be greater than zero. The calculator will output the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for rise and run?
A: You can use any units (meters, feet, inches) as long as both values use the same unit system.

Q2: What is the maximum recommended ramp angle?
A: For wheelchair accessibility, the maximum recommended slope is typically 1:12 (approximately 4.76 degrees).

Q3: How does this relate to slope percentage?
A: Slope percentage = (rise/run) × 100. The angle is the arctangent of this ratio.

Q4: Can I calculate run if I know rise and angle?
A: Yes, run = rise / tan(angle). This calculator focuses on finding the angle from known rise and run.

Q5: What if my run value is zero?
A: Run cannot be zero as it would create a vertical surface (90 degrees), which is not a ramp. The calculator requires run > 0.