1. What is Rise Over Run?

Rise over run is a mathematical concept used to describe the steepness or gradient of a line. It represents the ratio of vertical change (rise) to horizontal change (run) between two points on a line.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle in degrees
• \( \tan(\theta) \) — Tangent of the angle
• rise — Vertical change (units like meters)
• run — Horizontal change (units like meters)

Explanation: The tangent of an angle in a right triangle equals the ratio of the opposite side (rise) to the adjacent side (run).

3. Importance of Slope Calculation

Details: Slope calculation is essential in various fields including construction, engineering, road design, and topography. It helps determine the steepness of surfaces and ensures proper drainage and structural stability.

4. Using the Calculator

Tips: Enter the angle in degrees (0-89.99). The calculator will compute the corresponding rise/run ratio. For example, a 45° angle gives a 1:1 slope ratio.

5. Frequently Asked Questions (FAQ)

Q1: What does a slope ratio of 1:2 mean?
A: A 1:2 slope means for every 2 units of horizontal distance, the elevation changes by 1 unit vertically.

Q2: How is slope expressed as a percentage?
A: Slope percentage = (rise/run) × 100%. For example, a 1:2 slope equals a 50% grade.

Q3: What's the maximum slope for wheelchair access?
A: ADA guidelines recommend a maximum slope of 1:12 (8.33%) for wheelchair ramps.

Q4: How does slope affect construction?
A: Steeper slopes require special engineering considerations for drainage, stability, and accessibility.

Q5: Can I calculate run if I know rise and angle?
A: Yes, run = rise / tan(θ). Similarly, rise = run × tan(θ).