Question

Which proportion could be used to solve for the height of the tree?

Answer 1

In the picture, we see two similar triangles, this means that ther is a factor k which satisfies:

h = 6k

and

40 = 10k

Isolating k in each equation:

`\begin{gathered} (h)/(6)=k \\ (40)/(10)=k \end{gathered}`

This means that:

`\begin{gathered} (h)/(6)=(40)/(10) \\ or\text{ equivalently} \\ (6)/(h)=(10)/(40) \end{gathered}`