Question

1. A and B are two points on earth’s surface and on latitude 400 N. The two points are on the longitude 500W and 1300E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers.
2. The shortest distance from A to B along a great circle in kilometres (Take π = 22/7 and radius of the earth = 6370km)

Answer 1

1. d = ¹⁸⁰/₃₆₀ x 2 x 6370 x ²²/₇ Cos 40º
   = ¹/₂ x ²²/₇ x 2 4879.7
   = 15336.2 km
    
2. ¹⁰⁰/₃₆₀ x 2 6370 x 22/7
   = 11122.2