CAT 2021 Trigonometry — Previous Year Question

The topmost point of a perfectly vertical pole is marked A. The pole stands on a flat ground at point D. The points B and C are somewhere between A and D on the pole. From a point E, located on the ground at a certain distance from D, the points A, B and C are at angles of $60^{\circ}$, $45^{\circ}$ and $30^{\circ}$ respectively. What is $AB : BC : CD$?