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

RatingGradeAngle 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.

  1. Horizontal distance = sqrt(5000^2 - 1500^2) = sqrt(25,000,000 - 2,250,000) = sqrt(22,750,000) = 4,770 ft.
  2. Grade = 1500 / 4770 x 100 = 31.4%.
  3. Angle = arcsin(1500/5000) x 57.3 = 17.5°.
  4. This slope would be rated blue (intermediate).