Question

indirect measurement : explain why the triangles are similar then find the distance represented by x.

Answer 1

Given data:

The given triangles.

The expression for the ratio of the corresponding sides is,

`\begin{gathered} \frac{90\text{ yards}}{110\text{ yards}}=\frac{(90+90)\text{ yards}}{x} \\ (9)/(11)=\frac{180\text{ yards}}{x} \\ 9x=11*(180\text{ yards)} \\ x=220\text{ yards} \end{gathered}`

Thus, the value of x is 220 yards.