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JAMB Mathematics 1986 Question 35

Question 35

Bearings

A girl walks 45 metres in the direction 050° from a point Q to a point X. She then walks 24 metres in the direction 140° from X to a point Y. How far is she then from Q?

  1. A.69m
  2. B.57m
  3. C.51m
  4. D.21m.
Show the answer and explanation

Answer: C (51m)

Explanation

The two directions differ by 140° − 50° = 90°, so the angle at X is a right angle. QY = √(45² + 24²) = √2601 = 51m.