The calculated distance (air line) between Ząbkowice Śląskie and Katowice is approximately 100 miles respectively 161 kilometers.
By car or train, the actual journey to Katowice is certainly longer, as only the direct route (as the crow flies) between Ząbkowice Śląskie and Katowice has been calculated here.
Air line (approximately)
161 kilometers
87 nautical miles