The calculated distance (air line) between Verkhniy Tagil and Chelyabinsk is approximately 163 miles respectively 263 kilometers.
By car or train, the actual journey to Chelyabinsk is certainly longer, as only the direct route (as the crow flies) between Verkhniy Tagil and Chelyabinsk has been calculated here.
Air line (approximately)
263 kilometers
142 nautical miles