From point A on level ground, the angles of elevation of the top D and bottom B of a flagpole situated on the of a hill are measured as 47°54' and 39°45'. Find the height of the hill if the height of the flagpole is 115.5 ft.

From point A on level ground, the angles of elevation of the top D and bottom B of a flagpole situated on the of a hill are measured as 47°54' and 39°45'. Find the height of the hill if the height of the flagpole is 115.5 ft.