185,246 views
32 votes
32 votes
A tree casts a 8 foot shadow

User Michael Cheng
by
2.3k points

1 Answer

17 votes
17 votes

Consider the schematic diagram given below,

Consider the following,


\begin{gathered} \angle BAD=\angle EDC\text{ (Corresponding angles)} \\ \angle ABE=\angle DCE\text{ (Right angles)} \\ \angle AEB=\angle DEC\text{ (Common)} \end{gathered}

So, by the AAA criteria, triangles ABE and DCE are similar.

So their corresponding sides must be in proportion,


\begin{gathered} (AB)/(CD)=(BE)/(CE) \\ (h)/(5)=(8)/(2) \end{gathered}

Thus, the required proportion is h/2 = 8/2.

Therefore, option B is the correct choice.

A tree casts a 8 foot shadow-example-1
User Emil L
by
3.1k points