The shortest distance between two points on Earth’s surface can be determined from the latitude and longitude of the two locations. For example, if location 1 has (lat, lon) = (α1,β1) and location 2 has ( lat, lon )=(α2,β2), the shortest distance between the two locations is approximately d=rcos−1[(cosα1cosβ1cosα2cosβ2)+(cosα1sinβ1cosα2sinβ2)+(sinα1sinα2)] where r=radius of earth 3960 miles and the inverse cosine function is expressed in radians. Also, N latitude and E longitude are positive angles while S latitude and W longitude are negative angles. Find the shortest distance from Chicago,
