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 N30ºE.
B
is N60ºW from O.
C
is S70ºE from O.
D
is S80ºW from O.

###### Note:

N30ºE means the direction is 30º 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 065º.
The bearing of Q from O is 300º.

###### Note:

The direction of P from O is N65ºE.
The direction of Q from O is N60ºW.

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

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

###### 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 N30ºW. 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 141º from her starting point.