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Year 10 Interactive Maths - Second Edition


Directions and Bearings

The direction to a point is stated as the number of degrees east or west of north or south.

For example, the direction of A from O is N30E.
B
is N60W from O.
C
is S70E from O.
D
is S80W from O.

Note:

N30E means the direction is 30 east of north.


The bearing to a point is the angle measured in a clockwise direction from the north line.

For example, the bearing of P from O is 065.
The bearing of Q from O is 300.


Note:

The direction of P from O is N65E.
The direction of Q from O is N60W.


A bearing is used to represent the direction of one point relative to another point.

For example, the bearing of A from B is 065.
The bearing of B from A is 245.

Note:
  • Three figures are used to give bearings.
  • All bearings are measured in a horizontal plane.


Example 19

A boat sails from a certain port in the direction N30W. After the boat has sailed 20 km, how far is it west of the port?

Solution:

Let the boat be x km west of the port.

So, the boat is 10 km west of the port.


Example 20

A cyclist travels 10 km south, then 8 km east. Find the cyclist's bearing from her starting point to the nearest degree.

Solution:

So, the cyclist's bearing is 141 from her starting point.


Key Terms

direction, bearing


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