Find the distance between two towns P(45^\circN, 30^\circW) and Q(15^\circS, 30^\circW) 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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Angular difference = 45^\circ + 15^\circ = 60^\circ.
\(D = \frac{60^\circ}{360^\circ} \times 2 \times \frac{22}{7} \times 7000\)
= \(\frac{22000}{3} km\)
Source: Myschool Past Questions Archive (Record #30930)