The calculated distance (air line) between Rosbach vor der Höhe and Karlsruhe is approximately 90 miles respectively 145 kilometers.
By car or train, the actual journey to Karlsruhe is certainly longer, as only the direct route (as the crow flies) between Rosbach vor der Höhe and Karlsruhe has been calculated here.
Air line (approximately)
145 kilometers
78 nautical miles