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A boat sails 8 km north from P to Q and then sails 6 km...

Mathematics
JAMB 2023

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

  • A. 217\(^o\)
  • B. 323\(^o\)
  • C. 037\(^o\)
  • D. 053\(^o\)
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Correct Answer: Option B
Explanation

tan θ = \(\frac {opp}{adj} = \frac {RQ}{QP} = \frac {6}{8}\)

tan θ = 0.75

θ = tan\(^{-1} (0.75) = 36.87^o\)

∴ The bearing of R from P = 360\(^o\) - 36.87\(^o\) = 323\(^o\) (to the nearest degree)

There is an explanation video available below.


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Explanation Video

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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now