The calculated distance (air line) between Annweiler am Trifels and Gelsenkirchen is approximately 164 miles respectively 263 kilometers.
By car or train, the actual journey to Gelsenkirchen is certainly longer, as only the direct route (as the crow flies) between Annweiler am Trifels and Gelsenkirchen has been calculated here.
Air line (approximately)
263 kilometers
142 nautical miles