Ski Slope Grade Calculator
Calculate the grade (steepness) of a ski slope from vertical drop and run length. Shows percentage grade and degree angle.
ft
ft
Grade (%)
31.4%
Slope Angle17.2 °
Horizontal Distance4,770 ft
Grade (%) vs Vertical Drop
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
Example Calculation
A run with 1,500 ft vertical drop and 5,000 ft slope length.
- 01Horizontal distance = sqrt(5000^2 - 1500^2) = sqrt(25,000,000 - 2,250,000) = sqrt(22,750,000) = 4,770 ft.
- 02Grade = 1500 / 4770 x 100 = 31.4%.
- 03Angle = arcsin(1500/5000) x 57.3 = 17.5°.
- 04This slope would be rated blue (intermediate).
Frequently Asked Questions
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