The calculated distance (air line) between Kamogatachō-kamogata and Ōita is approximately 145 miles respectively 234 kilometers.
By car or train, the actual journey to Ōita is certainly longer, as only the direct route (as the crow flies) between Kamogatachō-kamogata and Ōita has been calculated here.
Air line (approximately)
234 kilometers
126 nautical miles