G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

Order a 12-month Year 7 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 8 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 9 Interactive Maths software Homework Licence for only $19.95. Order a 12-month Year 10 Interactive Maths software Homework Licence for only $19.95.

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.


Key Terms

direction, bearing


| Home Page | Order Maths Software | About the Series | Maths Software Tutorials |
| Year 7 Maths Software | Year 8 Maths Software | Year 9 Maths Software | Year 10 Maths Software |
| Homework Software | Tutor Software | Maths Software Platform | Trial Maths Software |
| Feedback | About mathsteacher.com.au | Terms and Conditions | Our Policies | Links | Contact |

Copyright © 2000-2022 mathsteacher.com Pty Ltd.  All rights reserved.
Australian Business Number 53 056 217 611

Copyright instructions for educational institutions

Please read the Terms and Conditions of Use of this Website and our Privacy and Other Policies.
If you experience difficulties when using this Website, tell us through the feedback form or by phoning the contact telephone number.