Given
To find the height of the tree.
Explanation:
It is given that,
From the figure, it is clear that ΔABC and ΔADE.
That implies,
[tex]\begin{gathered} \frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC} \\ \frac{x}{2x}=\frac{y}{2y}=\frac{DE}{200} \\ \frac{1}{2}=\frac{DE}{200} \\ DE=\frac{200}{2} \\ DE=100 \end{gathered}[/tex]
Hence, the height of the tree is 100ft.
