Question

The city of Seward plans to build a bridge across Copperfield Lake. Use the information in the diagram to find the distance across Copperfield Lake.

Answer 1

121 meters

1) Since those triangles share a parallel side, then we can use the Thales Theorem to find out the missing side. So we can write:

`\begin{gathered} (100)/(220)=(55)/(x) \\ 100\cdot x\text{ =55}\cdot220 \\ x=(55\cdot220)/(100) \\ x=121 \end{gathered}`

2) Hence, we can state that the distance across Copperfield lake is 121 meters