1. What is Slope Ratio Angle Calculation?

The slope ratio angle calculation determines the angle of inclination from the ratio of vertical rise to horizontal run. This is essential in construction, engineering, and topography for measuring slopes, ramps, and gradients.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle of inclination
• \( Rise \) — Vertical distance (height)
• \( Run \) — Horizontal distance (base)
• \( \arctan \) — Inverse tangent function

Explanation: The arctangent function converts the slope ratio (rise/run) into an angle, providing the exact inclination measurement.

3. Importance of Slope Angle Calculation

Details: Accurate slope angle calculation is crucial for construction safety, road design, wheelchair ramp compliance, roof pitch determination, and geological surveys.

4. Using the Calculator

Tips: Enter rise and run values in consistent units (both meters or both feet). Select desired angle unit (degrees or radians). Ensure both values are positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope ratio and slope angle?
A: Slope ratio is the proportion (rise:run), while slope angle is the actual inclination measured in degrees or radians.

Q2: What is a typical slope angle for wheelchair ramps?
A: ADA guidelines recommend maximum slope of 4.8° (1:12 ratio) for wheelchair ramps.

Q3: How do I convert slope percentage to angle?
A: Slope percentage = (rise/run) × 100. Angle = arctan(slope percentage/100).

Q4: What are common applications of slope angle calculation?
A: Roof construction, road engineering, hiking trail design, agricultural terraces, and drainage systems.

Q5: Can this calculator handle very steep slopes?
A: Yes, it calculates angles from 0° to nearly 90° (vertical). For exactly 90°, use specialized vertical calculations.