If you look at the longitudes of A and B, you can see that the longitude of B is the anti-meridian of that of A. Therefore, the great circle track between them will be accross the nearest pole. You therefore need to work out the distance from A to the pole, and then from the Pole to B.
We know 1 degree of latitude = 60nm
A > pole = 90-59°34.1' = 30°25.9' = 1826nm
pole > B = 90-30°25.9' = 59°34.1' = 3574nm
Therefore, total distance = 5400nm (B)
C89