1. What is Slope Angle?

Slope angle is the angle between a surface and the horizontal plane, measured in degrees. It represents the steepness or gradient of a surface and is commonly used in construction, engineering, and geography.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( Rise \) — Vertical height difference (meters)
• \( Run \) — Horizontal distance (meters)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle whose tangent is equal to the ratio of rise over run, then converts the result from radians to degrees.

3. Importance of Slope Calculation

Details: Accurate slope calculation is essential for construction projects, road design, roof pitching, wheelchair ramp installation, and geological studies to ensure safety and proper functionality.

4. Using the Calculator

Tips: Enter the vertical rise and horizontal run in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between slope angle and gradient?
A: Slope angle is measured in degrees, while gradient is typically expressed as a ratio or percentage (rise/run × 100%).

Q2: What is considered a steep slope?
A: Generally, slopes above 30 degrees are considered steep, while slopes above 45 degrees are very steep and may require special considerations.

Q3: Can I use different units for rise and run?
A: Yes, as long as both measurements use the same unit system (both in meters, both in feet, etc.), the calculation will be accurate.

Q4: What is the maximum possible slope angle?
A: The theoretical maximum is 90 degrees (vertical), but practical slopes rarely exceed 45 degrees for most applications.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your rise and run measurements.