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Determine the distance on the earth's surface between tw...

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.

800π9km

B.

8003π9km

C.

800π km

D.

8003π km

Correct answer is C

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

α = common latitude = 60°

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

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

= \frac{6400\pi}{8} = 800\pi km