Resolving "Kate's map"


On day 96 Kate, Jack, Juliet, Charlotte, and Faraday return to the beach camp from the Tempest. Sun is waiting for them. Sun, concerned about her unborn baby's welfare, decided that she and Jin should leave the beach camp and join Locke's group at the barracks. Sun or Jin do not know how to get to the barracks, so she asks Kate to draw her a quick map and tell her how to get there.

We don't hear all of Kate's directions, only part of the last sentence " ... and when you reach the stream, you pretty much go northwest for a day and half".
Juliet, knowing how dangerous this would be, prevents Sun from leaving the beach camp by telling Jin of Sun's affair, which was told to Juliet in confidence. Sun doesn't leave the beach camp and the map is never used.