1. What Is Slope Angle?

Slope angle is the angle between a sloped surface and the horizontal plane. It's commonly used in construction, engineering, road design, and various technical fields to describe the steepness of an incline.

2. How Does The Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Slope angle
• \( \text{rise} \) — Vertical height difference
• \( \text{run} \) — Horizontal distance
• \( \arctan \) — Inverse tangent function

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

3. Importance Of Slope Angle Calculation

Details: Accurate slope angle calculation is essential for structural stability, road safety, drainage design, wheelchair accessibility ramps, and ensuring compliance with building codes and regulations.

4. Using The Calculator

Tips: Enter the vertical rise and horizontal run in consistent units (both in meters, feet, etc.). Select your preferred angle unit (degrees or radians). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between slope ratio and slope angle?
A: Slope ratio (rise:run) describes the steepness as a ratio, while slope angle gives the actual angle in degrees or radians from horizontal.

Q2: What is a typical slope angle for roads?
A: Most highways have slopes between 2-6%, which corresponds to angles of approximately 1.1-3.4 degrees.

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

Q4: What is the maximum slope for wheelchair ramps?
A: ADA guidelines recommend maximum slope of 1:12 ratio, which is approximately 4.76 degrees.

Q5: When is slope angle calculation critical?
A: Critical applications include roof design, road construction, railway tracks, mining operations, and any structure where stability depends on proper slope management.