Two poles of equal heights are standing opposite each other on either side of the road, which is \(64\ m\) wide. From a point between them on the road, the angles of elevation of the top of the poles are \(60^°\) and \(30^°\), respectively. Find the height of the poles and the distances of the point from the poles.
 
Height of the each pole \(=\)
\(m\)
 
The point is
\(m\) away from first pole and
\(m\) away from second pole.
Answer variants:
21
27.712
29.712
48
16