Two towns, P and Q, are on (4oN 40oW) and (4oN

20oE) 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 2Ï€R cos4o
  • B Ï€R sin40o
  • C Ï€R/2 cos4o
  • D Ï€R/3 cos4o
  • E Ï€R/6 cos4o

The correct answer is D. πR/3 cos4o

Angular distance = 40o + 20o = 60o

using θ/360 x 2πr for distance between p and Q

= 60/360 x 2πRcos4o = 1/3πRcos4o

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