The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 460 paces, then due east for 130 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle east of north. After walking 370 paces you see an opening through the woods. How far should you go to reach the treasure?