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.

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

Speed Kilometers Per Hour (km/h)

The resulting speed kilometers per hour 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.

• Slope Degree Rise Run

  Incline angle in degrees from signed vertical rise and positive horizontal run.

• Declination Drift Adjuster

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

• Elevation Difference Points

  Signed elevation change from the first point to the second, in metres.