1. What is Slope Angle?

The slope angle (θ) is the angle between the horizontal plane and the inclined surface, measured in degrees. It's a fundamental measurement in various fields including construction, engineering, and geography.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Slope angle in degrees
• \( \text{rise} \) — Vertical change (in meters)
• \( \text{run} \) — Horizontal distance (in meters)

Explanation: The arctangent function converts the ratio of vertical to horizontal distance into an angle.

3. Importance of Slope Calculation

Details: Slope angle calculations are essential for designing ramps, roads, roofs, and other inclined surfaces. They help determine safety, stability, and proper drainage.

4. Using the Calculator

Tips: Enter the vertical rise and horizontal run in meters. Both values must be positive numbers. The calculator will output the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope angle and slope percentage?
A: Slope angle is measured in degrees while slope percentage is (rise/run)×100. A 45° angle equals 100% slope.

Q2: What's considered a steep slope?
A: Generally, slopes above 30° are considered steep, but this varies by application (e.g., wheelchair ramps should be ≤4.8°).

Q3: Can I use different units for rise and run?
A: Yes, as long as both use the same units (both in feet, both in meters, etc.).

Q4: What's the maximum possible slope angle?
A: Theoretically 90° (vertical), though practical limits are lower depending on the material and application.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise, but real-world accuracy depends on your measurement precision.