What is the ratio $\frac{AC}{BC}$ for the line segment AB following the construction method below?
Step 1. A ray is extended from A and 30 arcs of equal lengths are cut, cutting the ray at $A_1,A_2,...,A_{30}$
Step 2. A line is drawn from $A_{30}$ to $B$ and a line parallel to $A_{30}B$ is drawn, passing through the point $A_{17}$ and meet AB at C.