From a point R, 300m north of P, man walks eastward to a place Q…

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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 degreeee

  • 026o
  • 045o
  • 210o
  • 240o checkmark

The correct answer is: D

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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