### Bearings Tutorial

Since we are fairly familiar with the four main directions - North, South, East and West - there is not going to be an issue in identifying them, as long as we know where North is.

The problem, however, arises when we have to express the direction between any two of them - and as a numerical value for accuracy.

By expressing the direction in terms of bearings we can overcome a catalogue of practical difficulties in the field of navigation.

#### Bearings in Practice

Just look at the sky in the following animation near Heathrow, in the United Kingdom; how do aircraft controllers stop these planes from collisions in a saturated sky? It is the role of three-figure-bearings that help keep the order in our skies.

This tutorial helps you understand the concept effectively using an interactive programme.

#### Bearings

A bearing is defined as an angle measured clockwise from the north direction.

A bearing is usually expressed in three numbers; therefore, it is called 3-number-bearing.

E.g.

300 is expressed as 0300.

1300 is expressed as 1300.

3300 is expressed as 3300.

### Click the mouse along the slider and watch the updating below for the bearing.

003600

E.g.1

The bearing of B from A is 0200. Find the bearing of A from B.

The bearing of A from B = 180 + 20 = 2000.

E.g.2

The bearing of B from A is 1200. Find the bearing of A from B.

The bearing of A from B = 360 - 60 = 3000.

E.g.3

The bearing of B from A is 2200. Find the bearing of A from B.

The bearing of A from B = 0400.

E.g.4

The bearing of B from A is 3100. Find the bearing of A from B.

The bearing of A from B = 180 - 50 = 1300.

E.g.5

The following is a map of a part of the United Kingdom. Calculate the bearings of the following cities:

1. Bristol from Birmingham
2. Birmingham from London
3. London from Bristol

1. The bearing of Bristol from Birmingham = 180 + 22 = 2020.
2. The bearing of Birmingham from London = 360 -45 = 3150.
3. The bearing of London from Bristol = 0870.

Practice 1:

By using a protractor on the screen, find the following bearings:

1. Birmingham from Bristol
2. Bristol from London
3. London from Birmingham

Practice 2:

By using a protractor on the screen, find the following bearings:

1. Mannar from Kandy
2. Kandy from Galle
3. Mannar from Galle

### Resources at Fingertips

This is a vast collection of tutorials, covering the syllabuses of GCSE, iGCSE, A-level and even at undergraduate level. They are organized according to these specific levels.
The major categories are for core mathematics, statistics, mechanics and trigonometry. Under each category, the tutorials are grouped according to the academic level.
This is also an opportunity to pay tribute to the intellectual giants like Newton, Pythagoras and Leibniz, who came up with lots of concepts in maths that we take for granted today - by using them to serve mankind.

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