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Bearing & Distance to Coordinates Calculator

End easting and northing from a start point, a grid bearing (DD or DMS, clockwise from grid north) and a distance, with legs and a reverse check.

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How to use this calculator

Inputs

End coordinates from a start point, a grid bearing (DD or DMS, clockwise from grid north) and a distance — with further legs, a legs table and a reverse check.

Start point
Leg

Values outside 0–360 are folded into [0, 360).

More options
Traverse legs

Each leg starts where the previous one ended. Same bearing format and distance unit as above.

Record

Shown on the report only. No transformation is applied.

Enter the values and press Calculate.

Or load an example to see a worked result.

Grid bearing and coordinate components
Illustrative
Grid bearing and coordinate componentsPlan with grid north up and east to the right, drawn at equal scale on both axes: the start point, the end point, the bearing arc measured clockwise from north, and the easting and northing components.Grid NΔEΔNθStartEndE →
Grid north is up and easting increases to the right. The bearing is measured clockwise from grid north; ΔE = d·sin θ and ΔN = d·cos θ.

Before you rely on this: First-pass guide only. Verify safety-critical or regulated work against the relevant standards, your project requirements and a qualified professional.

How to use this calculator

  1. Enter the start easting and northing, choosing their unit.
  2. Enter the grid bearing (decimal degrees or DMS, clockwise from grid north) and the horizontal distance. If it is a ground distance, add your combined scale factor.
  3. Optionally add further legs (bearing, distance per line) to run a traverse; read the end point, the legs table and the reverse check.

How it works

Forward computation: ΔE = d × sin θ, ΔN = d × cos θ, so E₂ = E₁ + ΔE and N₂ = N₁ + ΔN. The bearing θ is clockwise from grid north, folded into 0–360° and converted to radians once.

The reverse check runs the inverse computation from the start to the end point, so you can see the bearing and distance it implies.

This is planar grid geometry: no geodesic, datum transformation or ground-to-grid conversion is applied. A ground distance needs your combined scale factor to become a grid distance.

Worked example

E 100, N 200, 120 m at 45°. ΔE = 120 × sin 45° = 84.853 m and ΔN = 120 × cos 45° = 84.853 m, so the end point is E 184.853, N 284.853. A bearing of 0° changes only the northing, 90° only the easting, and a zero distance leaves the point where it is.

Frequently asked questions

Grid or true bearing?

Grid. The bearing is measured clockwise from grid north of your coordinate system. A true or magnetic bearing must be converted first (grid convergence, magnetic declination).

Horizontal or slope distance?

Horizontal. Reduce a slope distance to horizontal first, and if it is a ground distance on a projected grid, apply your combined scale factor to get the grid distance.

Can I use latitude/longitude?

No. Latitude and longitude are angles, not planar metres. Project them to a grid (for example a UTM or MGA zone) first.

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Cite this tool

Zerdly. (2026). Bearing & Distance to Coordinates Calculator. Retrieved from https://www.zerdly.com/tools/bearing-distance-to-coordinates-calculator/

Tip: Enter any known values to calculate the remaining results.

Designed to run locally in your browser. Tool inputs are not intentionally stored by Zerdly unless stated otherwise.