Answer:
The height of the tree is 16.67 feet.
Step-by-step explanation:
Refering the figure, let the height be "x" feet.
It is evident that triangles ABC and triangle EDC are similar.
(as both man and tree are perpendicular to the ground)
thus, [tex]\frac{AB}{DE} = \frac{BC}{DC} = \frac{AC}{EC}[/tex]
hence,
[tex]\frac{x}{6} = \frac{25}{9}[/tex]
Thus, [tex]x = (\frac{25}{9})(6) = \frac{50}{3} = 16.67 foot.[/tex].
