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
Attached Figure / Diagram
A
155o
B
80o
C
158o
D
91o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
< 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
Source: Myschool Past Questions Archive (Record #36811)