The calculated distance (air line) between Vacha and Nizhniy Novgorod is approximately 60 miles respectively 96 kilometers.
By car or train, the actual journey to Nizhniy Novgorod is certainly longer, as only the direct route (as the crow flies) between Vacha and Nizhniy Novgorod has been calculated here.
Air line (approximately)
96 kilometers
52 nautical miles