Iwalk six miles in a straight line in a direction north of east, and i end up two miles east and several miles north. how many degrees north of east have i walked?

For this case we can model the problem as a rectangle triangle.
 We know:
 Length of the hypotenuse
 Length of one side of the triangle
 We want to know:
 Angle between the hypotenuse and the horizontal side of the triangle.
 For this, we use the following trigonometric relationship:
 
 
 You walked 70.5 degrees north of east

84.474 feet. It is because since each second is 46.93 feet, multiply the amount of feet to the amount of seconds. In this case, 1.8 x 46.93.