Track a walk

A walk is written as a list of steps. Each step says how far you go east and north, in metres. You will make the program add up the distance you walked, find where you end up, and work out your displacement from the start.

The idea. The length of one step $(e, n)$ is $\sqrt{e^2 + n^2}$. The distance adds up every step's length. The displacement is the straight line from the start to where you end: $\sqrt{(\text{east})^2 + (\text{north})^2}$.

Your tasks.

1. Inside the loop, add each step's length to distance.
2. Inside the loop, keep track of where you are: add each step to east and north.
3. After the loop, work out the displacement.