Mathematics

Problem

From the extremities of a horizontal base-line

AB

, whose length is 1000 feet, the bearings of the foot

C

of a tower are observed and it is found that

\angle CAB=56^\circ 23'

\angle CBA=47^\circ 15'

, and that the elevation of the tower from

A

9^\circ 25'

; find the height of the tower.