# Chapter 1 - Review Exercises: 47

The lifeguard will enter the water 40 yards left from the position.

#### Work Step by Step

As the triangles are similar: $\frac{20}{30}=\frac{x}{100-x}$ Then we just need to solve the equation for x: $20(100-x)=30x$ $2000=50x$ $x=40$

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