Copyright © University of Cambridge. All rights reserved.
'Over the Pole' printed from https://nrich.maths.org/
Knowing the angle of latitude you can work out the radius of the
circle of latitude and half its circumference. You can also work
out the arc length of the route over the pole.
It would be a good idea to draw a graph for the ratio of these
distances for different angles of latitude.
Can you explain why this ratio tends to a limit?