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

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 answer is 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