Mathematics

Two towns, P and Q, are on (4oN 40oW) and (4oN 20oE) respectively. What is…

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.
    2πR cos4o
  • B.
    πR sin40o
  • C.

    πR/2

    cos4o

  • D.

    πR/3

    cos4o

  • E.

    πR/6

    cos4o

Correct Answer: Option D
Explanation

Angular distance = 40o + 20o = 60o
using θ/360 x 2πr for distance between p and Q
= 60/360 x 2πRcos4o = 1/3πRcos4o