Xavier Aptitude Test 2021 Paper

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