JAMB Mathematics 1983 Question 37

Question 37

Bearings

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

  1. A.26° 34'
  2. B.243° 26'
  3. C.116° 34'
  4. D.63° 26'
  5. E.240°.
Show the answer and explanation

Answer: B (243° 26')

Explanation

H is 30km south and 60km west of P. The angle west of south is tan⁻¹(60/30) = 63°26', so the bearing is 180° + 63°26' = 243°26'.