A $20\mathrm{m}$ high vertical pole and a vertical tower are on the same level ground in such a way that the angle of elevation of the top of the tower, as seen from the foot of the pole, is $60°$ and the angle of elevation of the top of the pole as seen from the foot of the tower is $30°$. Find the height of the tower.

In the given figure, from the top of a building $\mathrm{AB}=60\mathrm{m}$ high, the angles of depression of the top and bottom of a vertical lamp post $\mathrm{CD}$ are observed to be $30°$ and $60°$ respectively. Find the horizontal distance between $\mathrm{AB}$ and $\mathrm{CD}$

In the given figure, from the top of a building $\mathrm{AB}=60\mathrm{m}$ high, the angles of depression of the top and bottom of a vertical lamp post $\mathrm{CD}$ are observed to be $30°$ and $60°$ respectively. Find the height of the lamp post.