1. What is Slope Degree Calculation?

Slope degree calculation determines the angle of inclination of a surface from horizontal, expressed in degrees. It's calculated using the ratio of vertical rise to horizontal run and is essential in various fields including construction, engineering, and geography.

2. How Does the Calculator Work?

The calculator uses the slope degree formula:

Where:

• \( \theta \) — Slope angle in degrees
• \( Rise \) — Vertical height difference
• \( Run \) — Horizontal distance
• \( \arctan \) — Inverse tangent function
• \( \frac{180}{\pi} \) — Conversion factor from radians to degrees

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

3. Importance of Slope Angle Calculation

Details: Accurate slope angle calculation is crucial for construction projects, road design, roof pitching, wheelchair ramp compliance, and geological surveys. It helps ensure structural stability and safety.

4. Using the Calculator

Tips: Enter rise and run values in consistent units (both meters or both feet). Ensure both values are positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: What are typical slope angles for different applications?
A: Wheelchair ramps: 4.8°-7.1° (8-12%), roads: 2.9°-5.7° (5-10%), roofs: 14°-45° (25-100%), ski slopes: 15°-45°.

Q3: Can I use different units for rise and run?
A: No, use consistent units (both metric or both imperial). The calculator works with the ratio, so units must match.

Q4: What is the maximum possible slope angle?
A: Theoretically 90° (vertical), but practical limits depend on material and application. Most natural slopes are under 45°.

Q5: How accurate is this calculation?
A: Mathematically precise for the given inputs. Accuracy depends on measurement precision of rise and run values.