The calculated distance (air line) between Dortmund and Bad Homburg vor der Höhe is approximately 102 miles respectively 164 kilometers.
By car or train, the actual journey to Bad Homburg vor der Höhe is certainly longer, as only the direct route (as the crow flies) between Dortmund and Bad Homburg vor der Höhe has been calculated here.
Air line (approximately)
164 kilometers
89 nautical miles