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A ship H leaves a port P and sails 30 km due south. Then it...

Mathematics
JAMB 1983

A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?

  • A. 20o 34'
  • B. 243o 26'
  • C. 116o 34'
  • D. 63o 26'
  • E. 240o 56'
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Correct Answer: Option B
Explanation

Let the bearing of H from P be represented by x°.

\(\tan \theta = \frac{30}{60} = 0.5\)

\(\theta = \tan^{-1} (0.5) = 26.565°\)

\(x = 180° + (90 - 26.565)\)

\(x = 180 + 63.435 = 243.435°\)

= \(243° 26'\)


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JAMB CBT Mobile App 2025 - Free Download
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