1. What is Slope Ratio?

Slope ratio represents the relationship between vertical rise and horizontal run, commonly expressed as "1:X" where X is the tangent of the slope angle. It's widely used in construction, engineering, and landscaping.

2. How Does the Calculator Work?

The calculator uses the trigonometric tangent function:

Where:

• \( Slope\ Angle \) — The angle of inclination in degrees
• \( \tan \) — Trigonometric tangent function

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 Conversion

Details: Converting between angle and ratio is essential for construction plans, road design, wheelchair ramp specifications, and drainage systems where slope requirements are often given in ratio form.

4. Using the Calculator

Tips: Enter the slope angle in degrees (0-90). The calculator will output the corresponding ratio in "1:X" format where X is the horizontal distance for each 1 unit of vertical rise.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope ratio and slope percentage?
A: Slope ratio (1:X) shows horizontal distance per unit vertical rise, while percentage is rise/run × 100. For example, a 1:2 ratio equals 50% grade.

Q2: What's the maximum recommended slope for wheelchair ramps?
A: ADA recommends maximum 1:12 ratio (≈4.76°) for wheelchair ramps. Steeper slopes may require assistance.

Q3: How do you convert ratio back to degrees?
A: Use the arctangent function: Angle = arctan(1/X) where X is the ratio number.

Q4: What's a typical roof pitch ratio?
A: Common residential roof pitches range from 1:12 (very shallow) to 1:1 (45° pitch).

Q5: Why use ratio instead of degrees in construction?
A: Ratios are easier to measure and implement in the field using simple tools like levels and tape measures.