From the top of a \(19\ m\) high builidng, the angle of elevation of the top of a lighthouse is \(60^\circ\) and the angle of depression of its foot is \(45^\circ\). Evaluate the height of the lighthouse.
 
The height of the lighthouse \(=\)
\(m\).
Answer variants:
56.908
53.408
51.908
50.408