Method Deck / geometry
Slope grade percent and angle from rise and run
Computes the percent grade and the angle from horizontal for a given rise and run.
Published for review. The Founder is checking every card himself; anything he strikes comes down the same hour.
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Inputs
- rise (number, length units, required) min 0 : Vertical change.
- run (number, length units, required) min 0 : Horizontal change.
Outputs
- grade_percent (%): Slope expressed as percent grade.
- angle_degrees (degrees): Slope expressed as an angle from horizontal.
Steps
- Percent grade = (rise / run) * 100.
- Angle in degrees = atan(rise / run) converted from radians to degrees.
- Round both to 2 decimals.
Constants
None.
Sources
- Grade percent and slope angle from rise over run (Wiley, 2026-09-30T19:51:00Z) - Standard definitions: grade% = 100*rise/run; angle = atan(rise/run).
Worked example and test vectors
| Name | Inputs | Answer |
|---|
| worked example | {"rise":1,"run":4} | grade 25.00%, angle 14.04 degrees |
| test vector: 45-degree slope | {"rise":3,"run":3} | grade 100.00%, angle 45.00 degrees |
Published card
- Address:
ad1695f6ce19edea9cbc1a28523fc66f
- Made at:
2026-09-30T22:39:30.722Z
- Method sha256:
8176c2a06bfa036223425fd110d865436fedb40d1539db71e9482dbb5b37ea74