Answer
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:
$20(100-x)=30x$
$2000=50x$
$x=40$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 1 - Review Exercises - Page 43: 47
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