Weigh anchor is a nautical term indicating the final preparation of a sea vessel for getting underway.
Weighing anchor literally means raising the anchor of the vessel from the sea floor and hoisting it up to be stowed onboard the vessel. At the moment when the anchor is no longer touching the sea floor, it is aweigh.
Example of use
When not at anchor
When a vessel is not at anchor, but tied to a pier or to another anchored vessel, it does not weigh anchor; the captain or master gives the order to "take in lines."