Question $7$

$0/10$ pts

$5$

$19$

Details

Kayla is a lifeguard and spots a drowning child $30$ meters along the shore and $50$ meters from the shore to the child. Kayla runs along the shore for a while and then jumps into the water and swims from there directly to the child. Kayla can run at a rate of $5$ meters per second and swim at a rate of $1\mathrm{.}1$ meters per second. How far along the shore should Kayla run before jumping into the water in order to save the child? Round your answer to three decimal places.