12. Find the height of the pedestal

A statue 2 \(m\) tall stand on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 65\(^{\circ}\), and from the same point, the angle of elevation of the top of the pedestal is \(45^{\circ}\). Find the height of the pedestal. (\(tan \ 65^{\circ} = 2.145\))

 

Answer:

 

The height of the pedestal is  \(m\).

 

(Note: If the answer is a whole number, write as it is. If not, round off to the nearest \(3\) decimal places.)