1) Bearings are defined as the angle measured clockwise from north to the straight line between two points. 2) Examples of bearings are shown between points P and Q, with the bearing of Q from P measured as the angle from north to the line PQ. 3) An exercise asks the reader to draw diagrams showing the direction of Q relative to P for different given bearings, and to state the bearings of P from Q and Q from P based on the diagrams.

1. PPR Maths nbk
BEARINGS
DEFINITION
The bearing of a point P from a point
Q is the angle θ measured clockwise
from the north direction at Q to the
straight line joining P and Q.
North
Examples:
North
a) b)
North
Q
θ
θ P
P
Q
Exercise 1
A) Based on the bearing of Q from P given, draw a diagram to show the direction of Q relative to P.
Eg: Bearing of Q from 1 Bearing of Q from P = 2 Bearing of Q from P =
P=140o 050o 100o
N
1400
P
Q

2. PPR Maths nbk
3 Bearing of Q from P = 4 Bearing of Q from P = 5 Bearing of Q from P =
210o 330o 235o
B) Based on the diagrams, state the bearing of P from Q and the bearing of Q from P
Eg: N 1 N 2 N
N N P
N Q
65o P 75o
65o 34o
Q
P Q
Bearing of P from Q
= 180o + 65o
= 245o
Bearing of Q from P
= 065o
3 N 4 N 5
N
Q
Q
65o
50o Q
P P
220o
P

3. PPR Maths nbk
ANSWERS
EXERCISE 1 (A)
1) 2) N 3) N
N
P
210O
O
Q 100
50O P
Q
P
Q
4) 5) N
Q
N
P
235O
330O
P Q
EXERCISE 1 (B)
) Bearing of P from Q = 270o +15o
= 285o
Bearing of Q from P = 90o + 15o
= 105o
2) Bearing of P from Q = 056o
Bearing of Q from P = 180o + 56o
= 236o
3) Bearing of P from Q = 90o +25o
= 115o
Bearing of Q from P = 270o + 25o
= 295o
4) Bearing of P from Q = 180o +50o
= 230o
Bearing of Q from P = 050o
5) Bearing of P from Q = 220o
Bearing of Q from P = 040o

4. PPR Maths nbk