Sec 3/4 E Math T07-Q18 - Angles of elevation from two points

Points \(P\) and \(Q\) lie on level ground on the same straight line with the base of a vertical mast. \(P\) is \(33\) m from the mast and \(PQ=16\) m, with \(Q\) farther from the mast. The angle of elevation of the top from \(P\) is \(57^\circ\).

1. Calculate the height of the mast.
2. Hence, calculate the angle of elevation of the top from \(Q\), giving your answer correct to 1 decimal place.