Calculateur de Pente de Ski — Formule
## How Ski Slope Grade Is Calculated
### Formulas
**Grade (%) = Vertical Drop / Horizontal Distance x 100**
**Horizontal Distance = sqrt(Run Length^2 - Vertical Drop^2)**
**Angle (degrees) = arcsin(Vertical Drop / Run Length) x 57.2958**
### Ski Trail Ratings by Steepness
| Rating | Grade | Angle |
|--------|-------|-------|
| Green (Beginner) | 6-25% | 3-14° |
| Blue (Intermediate) | 25-40% | 14-22° |
| Black (Advanced) | 40-80% | 22-39° |
| Double Black (Expert) | 80%+ | 39°+ |
### Formulas
**Grade (%) = Vertical Drop / Horizontal Distance x 100**
**Horizontal Distance = sqrt(Run Length^2 - Vertical Drop^2)**
**Angle (degrees) = arcsin(Vertical Drop / Run Length) x 57.2958**
### Ski Trail Ratings by Steepness
| Rating | Grade | Angle |
|--------|-------|-------|
| Green (Beginner) | 6-25% | 3-14° |
| Blue (Intermediate) | 25-40% | 14-22° |
| Black (Advanced) | 40-80% | 22-39° |
| Double Black (Expert) | 80%+ | 39°+ |
Exemple Résolu
A run with 1,500 ft vertical drop and 5,000 ft slope length.
- Horizontal distance = sqrt(5000^2 - 1500^2) = sqrt(25,000,000 - 2,250,000) = sqrt(22,750,000) = 4,770 ft.
- Grade = 1500 / 4770 x 100 = 31.4%.
- Angle = arcsin(1500/5000) x 57.3 = 17.5°.
- This slope would be rated blue (intermediate).