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The position of three ships P Q and R at sea ar... - WAEC Mathematics 2012 Question

The position of three ships P,Q and R at sea are illustrated in the diagram. The arrows indicated the North direction. The bearing of Q from P is 050o and < PQR = 72o. Calculate the bearing of R and Q
A
155o
B
80o
C
158o
D
91o
correct option: c
< NPQ = < PQB = 50o(alt. < s)

< PQB = 50o

< PQR = < PQR < PQB + < QBR = 72o

< QBR = < PQR - < PQB = 72o - 50o

= 22o

< NQR = 180 - < QBR = 180o - 22 = 158o, the bearing of R from Q = 158o
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