The calculated distance (air line) between Waldems and Bad Homburg vor der Höhe is approximately 13 miles respectively 20 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 Waldems and Bad Homburg vor der Höhe has been calculated here.
Air line (approximately)
20 kilometers
11 nautical miles