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Slope Geometry: Angle, Grade and Length

Calculate slope angle, grade, rise and sloping length from explicit geometry, with clear units and no inferred terrain difficulty rating.

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Inputs that matter
Vertical rise (same length unit), Horizontal run (same length unit), Sources and assumptions, Slope angle (°), and 1 more
Output to expect
Slope angle and grade, Rise and length from a slope angle
  • Check the units and required inputs before comparing results.
  • Keep the assumptions with a copied result so you can reproduce the calculation later.
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Reference & details

How it works

Slope angle and grade

Calculate geometric slope from vertical rise and horizontal run in the same length unit. A flat segment is valid. Geometry does not assign a ski rating, assess surface condition or determine whether a slope is suitable for a launch or landing.

Grade = 100 × rise/run; angle = atan(rise/run); sloping length = hypot(rise, run).

Rise and length from a slope angle

Translate an angle and horizontal run into rise, grade and sloping length. An angle in degrees is not a grade percentage.

Rise = run tan(angle); sloping length = run/cos(angle); grade = 100 tan(angle).

Updated: September 2026

Example Scenarios

Use the example to inspect the method and breakdown, then enter your own documented observations or equipment data.

→ 11.309932° slope angle

Use the example to inspect the method and breakdown, then enter your own documented observations or equipment data.

→ 36.397023 rise in entered unit

FAQ

Calculate geometric slope from vertical rise and horizontal run in the same length unit. A flat segment is valid. Geometry does not assign a ski rating, assess surface condition or determine whether a slope is suitable for a launch or landing. Translate an angle and horizontal run into rise, grade and sloping length. An angle in degrees is not a grade percentage.

Retain the measurement time and location, equipment or source document, units and assumptions. Examples illustrate the calculation and must be replaced with your own actual data before saving a personal case.

Use Save planning case for an explicit local history entry. Copy MD includes inputs and notes; Download CSV exports the result breakdown. Keep portable copies and save a separate case after changing the assumptions.

About Slope Geometry: Angle, Grade and Length

Calculate geometric slope from vertical rise and horizontal run in the same length unit. A flat segment is valid. Geometry does not assign a ski rating, assess surface condition or determine whether a slope is suitable for a launch or landing. Translate an angle and horizontal run into rise, grade and sloping length. An angle in degrees is not a grade percentage.