Two towns, P and Q, are on (4^{o}N 40^{o}W) and (4^{o}N
20^{o}E) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).
20^{o}E) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).
- A.
2πR cos4^{o} - B.
πR sin40^{o} - C.πR2
cos4^{o}
- D.πR3
cos4^{o}
- E.πR6
cos4^{o}
Correct Answer: Option D
Explanation
Angular distance = 40^{o} + 20^{o} = 60^{o}
using ^{θ}/_{360} x 2πr for distance between p and Q
= ^{60}/_{360} x 2πRcos4^{o} = ^{1}/_{3}πRcos4^{o}