From a point R, 300m north of P, a man walks eastwards to a place; Q which is 600m from P. Find the bearing of P from Q correct to the nearest degree
A
026\(^o\)
B
045\(^o\)
C
210\(^o\)
D
240\(^o\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Cos \theta = \(\frac{adj}{hyp}\)
= \(\frac{300}{600}\)
= 0.5
\theta = Cos - 10.5
= 60
∠ RPQ = ∠ PQs
So the bearing of P from Q is 180 + 60 = 240\(^o\)
Answer is D
Source: Myschool Past Questions Archive (Record #47601)