The calculated distance (air line) between Yenakiieve and Vuhlehirsk is approximately 6 miles respectively 10 kilometers.
By car or train, the actual journey to Vuhlehirsk is certainly longer, as only the direct route (as the crow flies) between Yenakiieve and Vuhlehirsk has been calculated here.
Air line (approximately)
10 kilometers
5 nautical miles