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Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate...

Mathematics
WAEC 1997

Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).

  • A. 6400πkm
  • B. 6400km/π
  • C. 3200πkm
  • D. 3200km
  • E. 3200km/π
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Correct Answer: Option C
Explanation

P(67°W, 0°N)
Q(67°W 90°N), R = 6400km

Distance PQ =

90/360 x 2 x 6400 π

= 3200πkm


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