Question

Find the width of the Brady River, x, to the nearest meter.Sm28 m8 m15 mBradyRiver13 m15 m6 m17 m

Answer 1

You have two right triangles that are similar. The ratio between corresponding sides in similar triangles is the same:

`(b)/(a+b)=(d)/(c)`

Then, with the given measures you get the next equation:

`\begin{gathered} (7+x+8)/(7+x+8+28)=(8)/(15) \\ \\ (15+x)/(43+x)=(8)/(15) \end{gathered}`

Use the equation above to find x:

`\begin{gathered} 15(15+x)=8(43+x) \\ \\ 225+15x=344+8x \\ \\ 15x-8x=344-225 \\ \\ 7x=119 \\ \\ x=(119)/(7) \\ \\ x=17m \end{gathered}`