Find the displacement if you walk 2 miles east then walk 4 miles north

The displacement is about 4.47 miles

Explanation:

Displacement

Is the vector that represents the difference in positions that an object has moved on.

If the object was at position and ended up in the position , then the displacement is:

The magnitude of d is the length of the vector. Given its rectangular coordinates (dx,dy), then the magnitude is:

If you walk 2 miles east from the origin, your new position is (2,0). When you now walk 4 miles north, your final position is (2,4).

The displacement is:

And its magnitude is:

The displacement is about 4.47 miles