Question

Imagine yourself in the middle of Manhattan, where the streets are perpendicular on avenues. You are in a grid of streets, somewhat lost, and you randomly pick one of four directions and walk to the next intersection. Not knowing where you really want to go, you again randomly pick one of the four directions, and so on. After repeating the same movement for a number of times, you may want to know how far you got from the original point.

Answer 1

To know the total distance that we have moved, we must add the partial distances that we have traveled from the initial point.

What is the distance?

Distance is a term that refers to the length between two points expressed numerically. According to this definition, if we want to know the distance between our point of origin and the final point, we must know the length of the streets that we have traveled.

According to the above, to know the total distance we have traveled, we could calculate approximately how long each of the streets we traveled and add them to obtain the total distance.

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