MYP 4 Mathematics · Spatial Reasoning

Bearings

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What Are Bearings?

Imagine you're a pilot flying over the ocean with no landmarks in sight, or a sailor navigating through fog. How do you describe exactly which direction to travel? Saying "go that way" doesn't help much! This is where bearings come in — they give us a precise, mathematical way to describe direction.

Bearing

A bearing is an angle measured clockwise from north that describes the direction of one point from another. Bearings are always written as three figures (e.g., , , ).

Bearings are used in navigation, geography, orienteering, search-and-rescue operations, and even in military contexts. They remove all ambiguity from directional instructions.

Analogy

Think of bearings like the hands of a clock. You always start at 12 o'clock (north) and sweep clockwise around the dial. A bearing of means you've swept a quarter turn clockwise — that's due east. A bearing of is due south (half a turn), and is due west (three-quarter turn).

The Three Rules of Bearings

Every time you work with bearings, you must follow three golden rules:

  1. Always measure from North — draw a north line at the point you are measuring from.
  2. Always measure clockwise — even if the angle seems to go the "wrong way," bearings are always measured in the clockwise direction.
  3. Always give three figures — if the angle is less than , you pad it with a leading zero. For example, is written as , and is written as .
Warning

A very common mistake is measuring anticlockwise instead of clockwise, or forgetting to write three figures. The bearing of east is , not . Always check you've followed all three rules!

The Three Rules of Bearings

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