s = Δh/L

Slope from rise and run

Slope is rise divided by horizontal run; percent and angle are different representations.

MINTSI
01

Inputs

Dimensionless rise/run; 0.1 equals 10%.

Angle to horizontal; 45° equals 100% slope.

Vertical rise, positive uphill.

Horizontal projection of run.

02

Result

Select a target and calculate.

Technical principle schematic
LΔhα
Calculation

Slope [%] = 100 · Δh / L

Slope is rise divided by horizontal run; percent and angle are different representations.

Understand the inputs
  • Slope sDimensionless rise/run; 0.1 equals 10%.
  • Slope angle αAngle to horizontal; 45° equals 100% slope.
  • Rise ΔhVertical rise, positive uphill.
  • Horizontal run LHorizontal projection of run.
Example

1 m over 10 m = 10% or 5.71°.

Assumptions and limits

Straight path; angle is atan(Δh/L).

Sources