The height of a tree is measured by means of a cross-staff as shown in the figure above. The horizontal bar DE is adjusted up or down until points D, F, and B are in a straight line. Measured on level ground, DE is \(1\frac{1}{2}\) feet, EF is \(\frac{1}{2}\) foot, GE is 5 feet and GA is 60 feet. How tall is the tree?


A. \(20 \frac{1}{2}\) ft.

B. \(22\) ft.

C. \(24\) ft.

D. \(25\frac{1}{2}\) ft.

E. \(26\frac{1}{2}\) ft.