Question

. Las Vegas is located at 36.1 north latitude and 115.2 west longitude. Rome, Italy is located at 41.9 north latitude and 12.5 east longitude. What is the length of the shortest path along the surface of the Earth that joins these two cities? The circumference of the Earth as 40,000 km

Answer 1

"Given that Las vegas is located at 36.1 degree north latitude and 115.2 degree west longitude. Rome and Italy is located at 41.9 degree north latitude and 12.5 degree east longitude. also given that the circumference of earth is 40,000 kMs circumference of earth = 40,000 kMs 2 pi R = 40,000 pi R = 40,000/2 pi R = 20,000 R = 20,000/pi R = 6366.1977 kM where, psi_A and psi_B is the latitude in Radians theta_A & theta_B is the longitude in Radians We need to find the length of the shortest path along the surface of the earth that joins these two cities (Rome & Italy). where,