Grade / Slope

Grade = rise/run, slope angle, and run:rise ratio from a horizontal distance and Δelevation.

Geospatial & SurveyConstruction & Trades

Grade = rise/run, slope angle, and run:rise ratio from a horizontal distance and Δelevation.

App id: GEO-07. Reference version 1.0.

How to fill it

Fill the inputs. The tool shows the outputs.

On the tool screen, Calc is the working sheet. Presets stores values you reuse. Reference is the formula, assumptions, and provenance below.

Formula

grade = Δh / run; θ = atan2(Δh, run)

Inputs

Name	Unit
Horizontal distance	`m`
Elevation difference	`m`

Outputs

Name	Unit
Grade (hero result)	`%`
Slope angle	`deg`
Slope ratio (run /	rise

Diagnose

Observations are context. They do not pass or fail a structure. See Diagnose.

When	Observation	Severity
`percent ≥ 100`	Steeper than 100%	caution

Assumptions

Run is horizontal, not slope distance.

Provenance

Zero rise reports slope ratio 0 (flat). Mixed units convert before dividing.