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Circles and constructions
Lesson 54 of 75
Challenge

Bearings

Objective. Measure and use three-figure bearings.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

A bearing is a direction measured clockwise from north, always written using three figures, so a direction of 7° is written as 007°. To find a bearing from a diagram, draw a north line at the starting point, measure the clockwise angle to the destination, and record it as a three-figure number between 000° and 360°. For example, a direction exactly east of a point has a bearing of 090°, while south is 180° and west is 270°. When finding a return bearing (back bearing), add 180° to the original bearing if it is less than 180°, or subtract 180° if it is 180° or more.

Worked example

A ship travels on a bearing of 065° from port. Find the bearing it would need to travel to return directly to port.

65
Illustrated card showing 65
  1. 1The return journey is the back bearing, found by adding or subtracting 180°.
  2. 2Since 065° is less than 180°, add 180° instead of subtracting.
  3. 3065 + 180 = 245.
  4. 4Write this as a three-figure bearing: 245°.

Answer: 245°

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Practice

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Common mistake. Pupils often write a bearing with only one or two digits, such as writing 45° instead of the required three-figure format 045°. Always write bearings using exactly three digits, adding leading zeros where necessary.

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