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Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of...

Mathematics
JAMB 1995

Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

  • A. \(\frac{11000}{3}\)km
  • B. \(\frac{2200}{3}\)km
  • C. \(\frac{22000}{3}\)km
  • D. \(\frac{1100}{3}\)km
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Correct Answer: Option C
Explanation

Angular difference = 45° + 15° = 60°.

\(D = \frac{60°}{360°} \times 2 \times \frac{22}{7} \times 7000\)

= \(\frac{22000}{3} km\)


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