Elevation Grade Calculator
Calculate terrain grade, slope percentage, and angle of elevation from vertical rise and horizontal run.
What Is an Elevation Grade Calculator?
An elevation grade calculator determines how steep a slope is from vertical rise and horizontal run. It returns grade as a ratio, percentage, and angle of elevation. Land surveyors, road builders, and homeowners use grade to plan drainage, retaining walls, and safe access paths.
Elevation Grade Formulas
The grade (slope) of terrain is rise divided by run:
$$ \text{grade} = \frac{\text{rise}}{\text{run}} $$
Convert to percentage by multiplying by 100:
$$ \text{grade (\%)} = \frac{\text{rise}}{\text{run}} \times 100 $$
The angle of elevation in degrees uses the arctangent:
$$ \text{angle} = \arctan\left(\frac{\text{rise}}{\text{run}}\right) $$
For related slope tools, try the Angle of Depression Calculator or Angle Cut Calculator.
Frequently Asked Questions
What is a 6% road grade?
A 6% grade means the road rises 6 feet for every 100 feet of horizontal distance. That equals a grade ratio of 0.06 and an angle of about 3.43 degrees.
What grade is considered steep?
Grades above 15% (0.15 ratio) are moderately steep. Above 35% is very steep. Gentle terrain is typically under 5%.
What does 1 in 20 slope mean?
A 1-in-20 slope rises 1 unit vertically for every 20 units horizontally. That is a 5% grade or 2.86 degrees.
How is elevation grade different from slope percentage?
They measure the same thing. Grade as a ratio (rise/run) multiplied by 100 gives slope percentage. A grade of 0.12 equals 12%.
Example: 12 m rise over 200 m run?
Grade = 12/200 = 0.06 (6%). Angle = arctan(0.06) = 3.43 degrees. This is a gentle slope suitable for most roads.