Question

Using the information in the diagram, what is the height of the tree to the nearest foot?A. 45 ftB. 54 ftC. 60 ftD. 135 ftthank you ! :)

Answer 1

From the given figure,

Since the triangle are similar it follows:

`(108)/(x)=(108+108)/(120)`

Solve the equation for x

`\begin{gathered} 120(180)=x(216) \\ x=(12960)/(216) \\ x=60 \end{gathered}`

Therefore the height of the tree is 60 ft