1. What is Slope Percentage?

Slope percentage represents the steepness of an incline expressed as a percentage. It indicates how many units an incline rises for every 100 units of horizontal distance.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( \text{degrees} \) — Angle of inclination in degrees
• \( \tan \) — Trigonometric tangent function

Explanation: The tangent of an angle in a right triangle represents the ratio of opposite side (rise) to adjacent side (run). Multiplying by 100 converts this ratio to a percentage.

3. Importance of Slope Calculation

Details: Slope percentage calculations are essential in civil engineering, construction, road design, landscaping, and various outdoor activities where understanding incline steepness is crucial for safety and design purposes.

4. Using the Calculator

Tips: Enter the angle in degrees (0-90°). The calculator will automatically compute the corresponding slope percentage. A 45° angle equals 100% slope.

5. Frequently Asked Questions (FAQ)

Q1: What does 100% slope mean?
A: 100% slope means the incline rises 1 unit for every 1 unit of horizontal distance, which corresponds to a 45-degree angle.

Q2: Can slope percentage exceed 100%?
A: Yes, slope percentage can exceed 100%. A 60-degree angle gives approximately 173% slope, and a 90-degree angle (vertical) would theoretically give infinite slope.

Q3: How is slope percentage different from angle in degrees?
A: Degrees measure the angle itself, while percentage measures the ratio of vertical rise to horizontal run multiplied by 100.

Q4: What are typical slope percentages for different applications?
A: Wheelchair ramps: 5-8%, roads: 6-10%, hiking trails: 10-15%, ski slopes: 25-100% depending on difficulty.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on trigonometric principles. Accuracy depends on the precision of the input angle measurement.