The calculated distance (air line) between Az̧ Z̧a‘āyin and Madīnat ash Shamāl is approximately 42 miles respectively 68 kilometers.
By car or train, the actual journey to Madīnat ash Shamāl is certainly longer, as only the direct route (as the crow flies) between Az̧ Z̧a‘āyin and Madīnat ash Shamāl has been calculated here.
Air line (approximately)
68 kilometers
36 nautical miles