I walk 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: [tex]cos (x) = 2/6
x = acos (2/6)
x = 70.5 degrees[/tex] Answer: You walked 70.5 degrees north of east
