Question

Are the two triangles in the figure Similar? Justify the answer.what is the distance d across the lake?

Answer 1

Two triangles are Similar if the only difference is size (and possibly the need to turn or flip one around). Therefore would be answer B.

Find the ratio

$\begin{gathered} \frac{80}{30}=\frac{d}{180} \\ d=180\cdot\frac{80}{30} \\ d=480\text{ ft} \end{gathered}$

The distance would be 480 ft