Use this cartographic calculation to convert, scale, or compare map, terrain, bearing, raster, or route quantities when the coordinate and unit conventions are explicitly known.

Rise Meters (m)

Required number input.

Run Meters (m)

Required number input.

Incline angle in degrees from signed vertical rise and positive horizontal run. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Slope Degrees (deg)

The resulting slope degrees returned as a number.

• Map calculations depend on datum, projection, latitude, scale definition, magnetic-declination epoch, and whether distances are planar, rhumb-line, or geodesic. A compact formula cannot remove distortion or infer the missing reference system.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Confirm the map datum, projection, scale, and bearing convention before applying the result. Use geodesic or GIS software with current reference data when survey-grade or navigation-critical accuracy is required.

• Tobler Hiking Speed Estimate

  Tobler hiking speed in km/h from signed rise/run slope: 6 exp(-3.5 |slope+0.05|).

• Declination Drift Adjuster

  Project signed east-positive magnetic declination using a signed annual change in degrees per year.

• Slope Percent Contour Spacing

  Horizontal spacing in metres between contours from vertical interval and grade percentage.