A $1.5 \mathrm{m}$ tall person is standing at a distance of $30\sqrt{3} \mathrm{m}$ from the clock tower, observes the angle of elevation of the top of the clock tower to be $30°$.

What is the height of the clock tower?

A $1.5 \mathrm{m}$ tall person is standing at a distance of $30\sqrt{3} \mathrm{m}$ from the clock tower, observes the angle of elevation of the top of the clock tower to be $30°$.

The viewer walked to a position from where the elevation of the top becomes $60°$. How much distance did he walk towards or away from the tower?

A $1.5 \mathrm{m}$ tall person is standing at a distance of $30\sqrt{3} \mathrm{m}$ from the clock tower, observes the angle of elevation of the top of the clock tower to be $30°$.

How much should the height of the tower be increased so that the elevation of the top observed by the viewer is $60°$ at the same point?

A $1.5 \mathrm{m}$ tall person is standing at a distance of $30\sqrt{3} \mathrm{m}$ from the clock tower, observes the angle of elevation of the top of the clock tower to be $30°$.

At some point of the day the height of the tower is the same as the length of its shadow, what is the elevation of the source of light?

From the top of a $75 \mathrm{m}$ high lighthouse, a person observes two ships due East.

The angle of depression of the ship which is closer to the lighthouse is 

From the top of a $75 \mathrm{m}$ high lighthouse, a person observes two ships due East.

What is the distance of the ship $\mathrm{C}$ from the lighthouse?

From the top of a $75 \mathrm{m}$ high lighthouse, a person observes two ships due East.

What is the distance of the ship $\mathrm{B}$ from the lighthouse?

From the top of a $75 \mathrm{m}$ high lighthouse, a person observes two ships due East.

What is the distance between the ships?

From the top of a $75 \mathrm{m}$ high lighthouse, a person observes two ships due East.

To warn ships about the underwater rocks, the lighthouse spreads a Red coloured light over a sector of angle $120°$ to a distance of $21 \mathrm{km}$. How much of the area of the sea in $\mathrm{sq}.\mathrm{km}$ is warned by the red light from the lighthouse.