You will be hiking to a lake with some of your friends by following the trails indicated on a map at the trailhead. The map says that you will travel 5.60 mi directly north, then 1.51 mi in a direction 35.0 east of north, then finally 1.10 mi in a direction 15.0 north of east. Assume north to be +y and east to be +x. At the end of this hike, how far will you be from where you started?