Mathematics

Cotonou and Niamey are on the same line of longitude and Niamey is 7o north…

Cotonou and Niamey are on the same line of longitude and Niamey is 7o north of Cotonou. If the radius of the earth is 6400km, how far is Niamey north of Cotonou along the line of longitude, correct to the nearest kilometer? [Take π = 22/7]
  • A.
    391km
  • B.
    503km
  • C.
    782km
  • D.
    1006km
  • E.
    2012km
Correct Answer: Option C
Explanation
θ/360

* 2πR

=

7/360

* 2 *

22/7

* 6400 = 782km