Mathematics

Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate…

Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).

  • A.
    6400πkm
  • B.
    6400km/π
  • C.
    3200πkm
  • D.
    3200km
  • E.
    3200km/π
Correct Answer: Option C
Explanation

P(67°W, 0°N)
Q(67°W 90°N), R = 6400km

Distance PQ =

90/360 x 2 x 6400 π

= 3200πkm