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Ramp Rise and Run Calculator

Ramp Rise and Run Equations:

\[ rise = Length \times \sin(\theta) \] \[ run = Length \times \cos(\theta) \]

meters
degrees

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1. What is Ramp Rise and Run Calculation?

Ramp rise and run calculations determine the vertical and horizontal components of a ramp based on its length and angle. These measurements are essential in construction, engineering, and accessibility planning.

2. How Does the Calculator Work?

The calculator uses trigonometric equations:

\[ rise = Length \times \sin(\theta) \] \[ run = Length \times \cos(\theta) \]

Where:

Explanation: The equations use basic trigonometry to decompose the ramp length into its vertical and horizontal components based on the angle of inclination.

3. Importance of Rise and Run Calculation

Details: Accurate rise and run calculations are crucial for ensuring ramp safety, meeting accessibility standards, proper slope design, and structural integrity in construction projects.

4. Using the Calculator

Tips: Enter ramp length in meters and angle in degrees (0-90°). All values must be valid (length > 0, angle between 0-90 degrees).

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum recommended slope for accessibility ramps?
A: For wheelchair accessibility, the maximum slope is typically 1:12 (4.76 degrees or about 8.33% grade).

Q2: How do I convert degrees to percentage grade?
A: Percentage grade = tan(θ) × 100%, where θ is the angle in degrees.

Q3: What are typical applications of rise and run calculations?
A: Stair design, ramp construction, road engineering, roof pitch calculation, and any inclined surface design.

Q4: Can I use different units besides meters?
A: Yes, the calculator works with any consistent unit system (feet, inches, etc.) as long as you use the same unit for all measurements.

Q5: What if I know the rise and run but need to find the length or angle?
A: You can use the Pythagorean theorem for length (√(rise² + run²)) and arctan(rise/run) for the angle.

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