The calculated distance (air line) between Katowice and Tarnowskie Góry is approximately 15 miles respectively 24 kilometers.
By car or train, the actual journey to Tarnowskie Góry is certainly longer, as only the direct route (as the crow flies) between Katowice and Tarnowskie Góry has been calculated here.
Air line (approximately)
24 kilometers
13 nautical miles