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Elevation grade calculator

Calculate signed grade from horizontal distance and elevation change. A negative rise describes a descent.

Calculator

Grade
5.0000%
Rise per unit horizontal run
0.0500
Elevation angle
2.8624
Elevation change
1
Horizontal run
20

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How this calculator works

Grade compares vertical rise with horizontal run. Percent grade is 100 times this ratio. Use plan distance rather than the measured sloping length. Angle-only mode shows the rise over a reference run in metres.

Formula

grade = rise / run; percent grade = 100 x grade; theta = atan(grade); rise = grade x run.

Worked example

A 1 m rise in 20 m of horizontal travel gives grade 0.05, or 5%, and an angle of 2.8624 degrees.

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Frequently asked questions

Is 100% grade vertical?

No. It means equal rise and run, giving 45 degrees.

Can I enter a downhill grade?

Yes. Use a negative elevation change or grade, while horizontal distance stays positive.

Is this a drainage design check?

It is a geometric conversion. Drainage and accessibility limits depend on the applicable design requirements.

Sources

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