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Ramp Length Formula:
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The ramp length calculation determines the required length of a ramp based on its height and angle. This is essential for designing accessible ramps, construction projects, and various engineering applications where inclined surfaces are needed.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula calculates the hypotenuse (ramp length) of a right triangle where the height is the opposite side and the angle is the angle of inclination.
Details: Accurate ramp length calculation is crucial for wheelchair accessibility compliance, construction safety standards, material estimation, and ensuring proper slope for intended use.
Tips: Enter height in meters and angle in degrees (0-90°). For accessibility ramps, typical angles range from 4.8° to 7.1° (1:12 to 1:8 slope ratio).
Q1: What is the maximum recommended angle for wheelchair ramps?
A: For public accessibility, maximum slope is typically 4.8° (1:12 ratio) - 1 meter rise requires 12 meters of ramp length.
Q2: Can I use this for vehicle ramps?
A: Yes, but vehicle ramps typically allow steeper angles (up to 20° for some applications), though this affects usability and safety.
Q3: What units should I use?
A: The calculator uses meters for length/height and degrees for angle. Convert from other units before calculation if needed.
Q4: Why does the angle need to be in degrees?
A: Most practical applications use degrees for angle measurement, though the mathematical formula internally converts to radians for calculation.
Q5: What if my angle is 90 degrees?
A: At 90°, the calculation becomes undefined as sin(90°) = 1, making length equal to height, which represents a vertical surface, not a practical ramp.