From the top of a $50 \mathrm{m}$ high tower, the angles of depression of the top and bottom of a pole are observed to be $45°$ and $60°$ respectively. Find the height of the pole in metres.(Write only the numeral values without units) [Take $\sqrt{3}=1.732$]

The horizontal distance between two trees of different heights is $60 \mathrm{m}$. The angle of depression of the top of the first tree when seen from the top of the second tree is $45°$. The height of the second tree is $80 \mathrm{m}$. If the height of the first tree is $h \mathrm{m}$, then find the value of $h$.

From the top of a building $AB, 60 \mathrm{m}$ high, the angles of depression of the top and bottom of a vertical lamp post $CD$ are observed to be $30°$ and $60°$ respectively. Find the horizontal distance (in metres) between $AB$ and $CD.$(Write only the numeral values without units) [Take $\sqrt{3}=1.732$]

From the top of a building $AB, 60 \mathrm{m}$ high, the angles of depression of the top and bottom of a vertical lamp post $CD$ are observed to be $30°$ and $60°$ respectively. Find the height of the lamp post in metres.(Write only the numeral values without units)