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WAEC Mathematics 1988 Question 44

Question 44

Latitude and Longitude

Cotonou and Niamey are on the same line of longitude and Niamey is 7° north of Cotonou. If the radius of the earth is 6400km, how far is Niamey north of Cotonou along the line of longitude, correct to the nearest kilometer? (Take π = 22/7)

  1. A.391km
  2. B.503km
  3. C.782km
  4. D.1006km
  5. E.2012km.
Show the answer and explanation

Answer: C (782km)

Explanation

Distance along a great circle = 7/360 × 2 × 22/7 × 6400 = 782.2 ≈ 782 km.