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