Two points P and Q are on longitude 67^\circW. Their latitudes differ by 90^\circ. Calculate their distance apart in terms of \pi. (Take radius of the earth = 6400km).
A
6400πkm
B
6400km/π
C
3200πkm
D
3200km
E
3200km/π
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
P(67^\circW, 0^\circN)
Q(67^\circW 90^\circN), R = 6400km
Distance PQ =
90/360 x 2 x 6400 \pi
= 3200\pikm
Source: Myschool Past Questions Archive (Record #23866)