Teacher:You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.
Teacher: Now, understand the problem? Solve this instance: Points A, B, C, and D lie on the line in that order. If \(AB = 2BC = 3CD = k\) and \(CD = 6\), what is the distance from A to C?
(A)27 (B)33 (C)38 (D)42 (E)54
Student:
A