Two points P and Q are on the same straight road and lie on the same side of a vertical tower. Point P is 30 m nearer to the tower than point Q. The angle of elevation of the top of the tower is 45∘ at P and 30∘ at Q. Find the height of the tower (nearest metre).
a) 52m
b) 30m
c) 41m
d) 38m