Chapter 6.9, Problem 2CYU

To determine

To calculate: distance across stallion river

Answer to Problem 2CYU

198m

Explanation of Solution

Given information:

Triangle $\text{ABC}$ and $\text{EBD}$ from the figure are similar triangles,

  $\Delta ABC~\Delta EBD$

  $AB=220\text{m},BE=400\text{m},DE=360\text{m}$

Formula used: $\frac{x}{220}=\frac{360}{400}$

Calculation:

From, similarity,

  $\frac{AC}{AB}=\frac{DE}{BE}$

  $\therefore \frac{x}{220}=\frac{360}{400}$

  $\therefore x=198\text{m}$