Question

Using the information in the diagram determine the height of the tree

Answer 1

Given

To find the height of the tree.

Step-by-step explanation:

It is given that,

From the figure, it is clear that ΔABC and ΔADE.

That implies,

`\begin{gathered} (AD)/(AB)=(AE)/(AC)=(DE)/(BC) \\ (x)/(2x)=(y)/(2y)=(DE)/(200) \\ (1)/(2)=(DE)/(200) \\ DE=(200)/(2) \\ DE=100 \end{gathered}`

Hence, the height of the tree is 100ft.