$$R$$ is at $$(3, 4)$$ on the cartesian plane. To try to confuse $$R$$, the devious $$S$$ decides to rotate $$R$$ about the point $$(1, 0)$$ by $$36^\circ$$. $$S$$ then rotates $$R$$ by $$36^\circ$$ about the point $$(2, 0)$$, then $$36^\circ$$ about the point $$(3, 0)$$, then $$(4, 0)$$, etc., until finally rotating her $$36^\circ$$ about the point $$(10, 0)$$. Where does $$R$$ end exactly and why?