1. What is Ski Slope Gradient?

Ski slope gradient measures the steepness of a ski slope, expressed as a percentage. It indicates how much vertical elevation changes relative to horizontal distance, helping skiers assess difficulty levels and safety considerations.

2. How Does the Calculator Work?

The calculator uses the gradient formula:

Where:

• \( Rise \) — Vertical elevation change (meters)
• \( Run \) — Horizontal distance (meters)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle of inclination using trigonometry and converts it to a percentage gradient for easier interpretation.

3. Importance of Slope Gradient Calculation

Details: Accurate gradient calculation is essential for ski slope classification, safety planning, equipment selection, and determining appropriate skill levels for different slopes.

4. Using the Calculator

Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The result shows the gradient as a percentage.

5. Frequently Asked Questions (FAQ)

Q1: What do different gradient percentages mean for skiing?
A: 0-15%: Beginner slopes, 15-25%: Intermediate, 25-35%: Advanced, 35%+: Expert level. These ranges may vary by resort.

Q2: How is gradient different from angle in degrees?
A: Gradient percentage = tan(angle) × 100. A 45° angle equals 100% gradient, while 30° equals about 58% gradient.

Q3: What's considered a steep ski slope?
A: Generally, slopes above 30% gradient are considered steep, while those above 40% are very challenging and require expert skills.

Q4: Can I use this calculator for other applications?
A: Yes, this formula works for any incline calculation including roads, ramps, hiking trails, and construction projects.

Q5: How accurate are the measurements?
A: Accuracy depends on precise rise and run measurements. For ski slopes, use topographic maps or professional surveying tools for best results.