## Algebra 1

Since the triangles are similar, the ratio of the lengths of the shadows is the same as the ratio of the heights of the objects. Let s be the height of the sign. $\frac{4.5}{12}=\frac{3}{s}\longrightarrow$ cross multiply to solve for s $4.5s=36\longrightarrow$ divide each side by 4.5 $4.5s\div4.5=36\div4.5\longrightarrow$ divide $s=8$