The position of three ships P,Q and R at sea are illustrated in the diagram....

WAEC 2012

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. 155^o
B. 80^o
C. 158^o
D. 91^o

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Correct Answer: Option C

Explanation

< 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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