Explanation
Step 1
as the lines that make the river are parallel the triangles are similar, so we can make a proportion
let
[tex]\text{ratio = }\frac{\text{ opposite side}}{\text{adyancent side}}[/tex]
hence
[tex]\begin{gathered} \text{ratio}_1=\frac{16.2}{33} \\ \end{gathered}[/tex]
and let x represents the width of the river
[tex]ratio_2=_{}\frac{x}{58}[/tex]
therefore, the proportion is
[tex]\begin{gathered} \text{ ratio}_1=ratio_2 \\ \frac{16.2}{33}=\frac{x}{58} \\ \text{Multiply both sides by 58 to isolate x} \\ \frac{16.2}{33}\cdot58=\frac{x}{58}\cdot58 \\ 28.47=x \\ x=28.47 \\ \text{rounded to the nearest meter} \\ x=28\text{ meters} \end{gathered}[/tex]
so, the answer is
28 meters
I hope this helps you
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