MathDB

Jonathan and Eric are standing one kilometer apart on a large, flat, empty field. Jonathan rotates an angle of

\theta = 120^o

counterclockwise around Eric, then Eric moves half of the distance to Jonathan. They keep repeating the previous two movements in this order. After a very long time, their locations approach a point

P

on the field. What is the distance, in kilometers, from Jonathan’s starting location to

P

Problem Statement