Back bearings and reverse journeys

The bearing from B to A differs from A to B by 180°, wrapped into 000°–360°.

Key formulas

back bearing = bearing ± 180° (mod 360°)

Add or subtract

If the forward bearing is less than 180°, add 180°. If it is 180° or more, subtract 180°.

Example

A to B is 070°. B to A is 250°.

Journey problems

Sketch north lines at each point. Do not reuse one north arrow for every vertex of a multi-leg trip.

Worked example

Worked example

Problem. The bearing from A to B is 070°. Find the bearing from B to A.

Solution. Back bearing = 070° + 180° = 250°.

Format

Write bearings as three figures: 070°, not 70°.

Review quiz

Forward bearing 200°. Back bearing is:

Practice questions

  1. Forward 200°. Find the back bearing.
  2. Forward 015°. Find the back bearing.

Study notes

Is bearing measured from north?

Yes — clockwise from north in standard school questions.

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