The height of a tree is measured by means of a cross-staff as shown in the figure above. The horizontal bar DE is

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Source: GMAT Prep
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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

The OA is D