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

Home ยป Past Questions ยป Mathematics ยป Jamb ยป 2023 ยป A boat sails 8 km north from P to Q and then sails 6 kmโ€ฆ
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.

  • 217\(^o\)
  • 323\(^o\) checkmark
  • 037\(^o\)
  • 053\(^o\)

The correct answer is: B

Explanation

Open photo

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

tan ฮธ = 0.75

ฮธ = tan\(^{-1} (0.75) = 36.87^o\)

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

There is an explanation video available .

Previous Question Next Question

Leave A Comment