Find the length of approximated to the nearest hundredth, if needed.
Step 1: Establish that and are similar.
and share a common angle at , and it is given in the diagram that .
If two angles of one triangle are equal in measure to two angles of another triangle, then the triangles are similar. Therefore, and must be similar.
Step 2: Find the length of .
Since the triangles are similar, their corresponding side lengths are proportional to each other. Therefore,