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Ramp Length Calculator

Ramp Length Formula:

\[ Length = \frac{Rise}{\sin(\theta)} \]

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°

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1. What is the Ramp Length Calculator?

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.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

\[ Length = \frac{Rise}{\sin(\theta)} \]

Where:

Explanation: The formula uses the sine trigonometric function to calculate the hypotenuse length when the opposite side (rise) and angle are known.

3. Importance of Ramp Length Calculation

Details: Accurate ramp length calculation is crucial for wheelchair accessibility compliance, construction safety standards, material estimation, and ensuring proper slope ratios for various applications.

4. Using the Calculator

Tips: Enter rise in meters and angle in degrees. The angle must be between 0° and 90°. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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)

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