Back to: MATHEMATICS JSS3

**Welcome to Class !!**

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*In today’s Mathematics class, We will be talking about Bearing. We hope you enjoy the class!*

**BEARING**

**CONTENT:**

i) Compass bearing

ii) Three figure bearing

iii) Finding the bearing of a point from another.

**Compass Bearing**

A bearing gives the direction between two points in terms of an angle in degrees. The two types of bearings are compass bearings and three-figure bearings.

The four major compass directions are North (N), South (S), East (E), and West (W).

N

W E

S

In compass bearings, the angles are measured from North or South depending on which one is nearer

NE N NE

W E

SW S SE

Apart from the four main points or directions, there are also four main secondary directions i.e. NE (North East), SE (South East), SW (South West), NW (North West). The angle between each point is 45^{0}.

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**Worked Examples**

Draw a sketch to show each of these bearings marking the angles clearly.

- (a) N 35
^{0}W (b) N 70^{0}E (c) S 58^{0}

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**Solution**

- a) N 35
^{0}W means from N, measures 35^{0}towards the W or 35^{0}W of N.

N 35^{0} W N

- b) N 70
^{0}E means 70^{0}towards E.

N

N 70^{0} E

W E

- c) S 58
^{0}W means from S measures 58^{0}towards W.

N

W E

S

S58^{0}W

**Evaluation:**

Find the compass direction of point A from point O in these diagrams.

- a) N b)

N

W E W E

S S

- c) N

W E

S

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**REFERENCE**

NGM Bk 2 Chapter 23, Page 185 – 187.

Essential Mathematics for JSS Bk 2, Chapter 24, Pg 246 – 247.

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**THREE FIGURE BEARINGS**

Three figure bearings are given as the number of degrees from North, measured in a clockwise direction. Any direction can be given as a three-figure bearing. Three digits are always given but for angles less than 100^{0} an extra zero need to be written in front of the digits e.g. 000^{0}, 036^{0}, 070^{0} up to 099^{0}.

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**Worked Examples**

Find the three-figure bearings of A, B, C, and D from X.

N A

D

W X E

C

S B

Solution

a) The arrow N shows the direction N, NXA = 63^{0}. The bearing of A from X is 063^{0}.

b) NXB = 180 – 35 = 145^{0}. The bearing of B from X is 145^{0}.

c) NXC clockwise = 180 + 75 = 255^{0}. The bearing of C from X is 255^{0}.

d) NXD clockwise = 360 – 52 = 308^{0}. The bearing of D from X is 308^{0}.

*We have come to the end of this class. We do hope you enjoyed the class?*

*Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.*

*In our next class, we will be talking about Scale Drawing. We are very much eager to meet you there.*

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