Two cities are 1500 kilometers apart and lie on the same nor

\"Two cities are 1500 kilometers apart and lie on the same north-south line. The latitude of the northernmost city is 52 degrees N. What is the latitude of the other city? The radius of the Earth is approximately 6400 km. (Do not round until final answer, then round to the nearest integer as needed.)\"

The answer is 39 degrees N, but I\'m not certain what steps are needed to find it?

Solution

If the radius of the earth is 6400 km, then the circumference of the Earth = 2*pi*r = 2*6400*3.14 = 40,212 km

360*1500/40,212 = 13.42 degrees

52 degrees - 13.42 degrees = 38.58 degrees N latitude

Rounding off to the nearest integer gives 39 degrees N latitude.