From a point R, 300m north of P, man walks eastward to a place Q...
MATHEMATICS
WAEC 2005
From a point R, 300m north of P, man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree
- A. 026°
- B. 045°
- C. 210°
- D. 240°
Correct Answer: D. 240°
Explanation
\(cos\theta = \frac{adj}{hyp}=\frac{300}{600}=\frac{1}{2}\\
\theta = cos^{-1}(0.5000)=60^{\circ}\)
The bearing of P from \(Q = \theta + 180 = 60 + 180 = 240^{\circ}\)
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