The calculated distance (air line) between Wādī Mūsá and Ash Shajarah is approximately 163 miles respectively 262 kilometers.
By car or train, the actual journey to Ash Shajarah is certainly longer, as only the direct route (as the crow flies) between Wādī Mūsá and Ash Shajarah has been calculated here.
Air line (approximately)
262 kilometers
141 nautical miles