The calculated distance (air line) between Eppstein and Hofheim am Taunus is approximately 4 miles respectively 7 kilometers.
By car or train, the actual journey to Hofheim am Taunus is certainly longer, as only the direct route (as the crow flies) between Eppstein and Hofheim am Taunus has been calculated here.
Air line (approximately)
7 kilometers
4 nautical miles