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GCSE Maths > Trigonometry - Bearings

A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given). The bearing of A from B is 205 degrees.

Example

A, B and C are three ships. The bearing of A from B is 045. The bearing of C from A is 135. If AB= 8km and AC= 6km, what is the bearing of B from C?

tanC = 8/6, so C = 53.13
y = 180 - 135 = 45 (interior angles)
x = 360 - 53.13 - 45 (angles round a point)
= 262 (to the nearest whole number)

Copyright Matthew Pinkney 2003

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