A point H is 20 m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the point P on the tower and the top (T) of the tower are 30° and 50° respectively. Calculate, correct to 3 significant figures :

(a) /PT/; (b) the distance between H and the top of the tower

(c) The position of H if the angle of depression of H from the top of the tower is to be 40°.