Find the distance d from across the river. Assume the triangles are similar and the ratio of d to 90 feet is the same as the ratio of 90 ft to 30 feet.

Since the triangles are similar, we will use the idea of proportion to find the
distance d across the river.
That is;
[tex]\frac{d}{90}=\frac{90}{30}[/tex]cross-multiply
30d =8100
Divide both-sie of the equation by 30
d =270ft