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
