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WAEC Mathematics 1993 Question 30

Question 30

Bearings

From a point on the edge of the sea, one ship is 24km away on a bearing S 50°E and another ship is 7km away on a bearing S40°W. How far apart are the ships?

  1. A.20km
  2. B.24km
  3. C.25km
  4. D.31km
  5. E.84km
Show the answer and explanation

Answer: C (25km)

Explanation

The angle between S50°E and S40°W is 50° + 40° = 90°. Distance = √(242 + 72) = √625 = 25 km.