TS ICET 26 May 2023 Shift 1 Solved Paper

$\mathit{B}$ is the foot of a pole $\mathit{A}\mathit{B}$. Two points C, D on the ground are such that C, D, $\mathit{B}$ are collinear and the distance between $\mathit{C}$ and $\mathit{D}$ is $20\mathrm{m}$. If the angles of elevation to the top of the pole from $\mathrm{C}$ and $\mathrm{D}$ are respectively ${30}^{\circ }$ and ${45}^{\circ }$, then height of the pole $\mathit{A}\mathit{B}$ (in meters) is