Ramp Length Formula:
| From: | To: |
The Ramp Length Calculator calculates the hypotenuse length of a ramp based on the vertical rise and the angle of inclination. This is essential for construction, accessibility planning, and mechanical design applications.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula uses the sine trigonometric function to calculate the hypotenuse length when the opposite side (rise) and angle are known.
Details: Accurate ramp length calculation is crucial for wheelchair accessibility compliance, construction safety standards, material estimation, and ensuring proper slope ratios for various applications.
Tips: Enter rise in meters and angle in degrees. The angle must be between 0° and 90°. All values must be positive numbers.
Q1: What is the maximum recommended ramp angle?
A: For wheelchair accessibility, maximum slope is typically 1:12 (4.76°). Steeper slopes may be used for limited distances.
Q2: How do I convert degrees to slope ratio?
A: Slope ratio = 1 : tan(θ). For example, 4.76° ≈ 1:12 slope.
Q3: What are common ramp angle standards?
A: Residential: 15-20°, Commercial: 4.76-7.13°, Industrial: up to 30° depending on use.
Q4: Can I use this for roof pitch calculations?
A: Yes, the same formula applies for calculating rafter length from roof rise and pitch angle.
Q5: What if I know the run instead of the angle?
A: Use Pythagorean theorem: Length = √(Rise² + Run²)