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Determine the distance on the earth’s surface between two town P (lat 60°N, Long 20°E)…

Determine the distance on the earth’s surface between two town P (lat 60°N, Long 20°E) and Q(Lat 60°N, Long 25°W) (Radius of the earth = 6400km)

  • A.
    (frac{800pi}{9})km
  • B.
    (frac{800sqrt{3pi}}{9})km
  • C.
    800(pi) km
  • D.
    800(sqrt{3pi}) km
Correct Answer: Option C
Explanation

Angular difference ((theta))= 25° + 20° = 45°

(alpha) = common latitude = 60°

(S = frac{theta}{360°} times 2pi R cos alpha)

(S = frac{45°}{360°} times 2 pi times 6400 times cos 60°)

= (frac{6400pi}{8} = 800pi km)

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