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In today’s Mathematics class, We will be talking about Bearing. We hope you enjoy the class!
i) Compass bearing
ii) Three figure bearing
iii) Finding the bearing of a point from another.
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).
In compass bearings, the angles are measured from North or South depending on which one is nearer
NE N NE
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 450.
Draw a sketch to show each of these bearings marking the angles clearly.
- (a) N 350 W (b) N 700 E (c) S 580
- a) N 350 W means from N, measures 350 towards the W or 350 W of N.
N 350 W N
- b) N 700 E means 700 towards E.
N 700 E
- c) S 580W means from S measures 580 towards W.
Find the compass direction of point A from point O in these diagrams.
- a) N b)
W E W E
- c) N
NGM Bk 2 Chapter 23, Page 185 – 187.
Essential Mathematics for JSS Bk 2, Chapter 24, Pg 246 – 247.
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 1000 an extra zero need to be written in front of the digits e.g. 0000, 0360, 0700 up to 0990.
Find the three-figure bearings of A, B, C, and D from X.
W X E
a) The arrow N shows the direction N, NXA = 630. The bearing of A from X is 0630.
b) NXB = 180 – 35 = 1450. The bearing of B from X is 1450.
c) NXC clockwise = 180 + 75 = 2550. The bearing of C from X is 2550.
d) NXD clockwise = 360 – 52 = 3080. The bearing of D from X is 3080.
We have come to the end of this class. We do hope you enjoyed the class?
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In our next class, we will be talking about Scale Drawing. We are very much eager to meet you there.
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