12. PYQ - Compute the height of the tower

From the top of a \(16 \ m\) high building, the angle of elevation of the top of a cable tower is \(60^{\circ}\) and the angle of depression of its foot is \(30^{\circ}\). Find the height of the tower.

 

Answer:

 

The value of $\mathit{tan}i=\frac{1}{\sqrt{3}}$.

 

The value of $\mathit{tan}i=\sqrt{3}$.

 

The height of the tower \(=\)  .

 

(Note: Enter the number in the first box and the unit (short form) in the second box.)