A ship sets sail from port A (86oN, 56oW) for p...
A ship sets sail from port A (86oN, 56oW) for port B (86oN, 64oW), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.
[Take π = 3.142 and R = 6370 km]
62 km
97 km
389 km
931 km
Correct answer is A
AB = \frac{θ}{360}\times 2\pi Rcos\propto (distance on small circle)
= 64 - 56 = 8^o
\propto = 86^o
⇒ AB = \frac{8}{360} x 2 x 3.142 x 6370 x cos 86
⇒ AB = \frac{22,338.29974}{360}
∴ AB = 62km (to the nearest km)
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