1. What is the Angle of Slope?

The angle of slope represents the inclination of a surface relative to the horizontal plane. It is calculated using the arctangent of the slope ratio, which is the ratio of vertical rise to horizontal run.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \text{slope} \) — The ratio of vertical rise to horizontal run (unitless)
• \( \arctan \) — The inverse tangent function

Explanation: The calculator converts the slope ratio to an angle in degrees using the inverse tangent (arctangent) function.

3. Importance of Angle Calculation

Details: Calculating the angle of slope is essential in various fields including civil engineering, architecture, road construction, and landscaping. It helps determine the steepness of surfaces for safety, design, and construction purposes.

4. Using the Calculator

Tips: Enter the slope value (rise over run ratio). The calculator will return the corresponding angle in degrees. A slope of 1 (45° angle) represents equal rise and run.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope and angle?
A: Slope is a ratio (rise/run) while angle is the inclination measured in degrees from the horizontal.

Q2: What does a slope of 1 mean in degrees?
A: A slope of 1 corresponds to a 45° angle, where the vertical rise equals the horizontal run.

Q3: How is slope different from gradient?
A: Slope and gradient are often used interchangeably, though gradient is sometimes expressed as a percentage (slope × 100%).

Q4: What's the maximum possible angle of slope?
A: Theoretically, the maximum angle is 90° (vertical), but practical limits depend on the material and application.

Q5: How is this calculation used in real-world applications?
A: It's used in road design (maximum grade), roof pitch calculation, wheelchair ramp design, and geological slope stability analysis.