You are a lifeguard and spot a drowning child $30$ meters along the shore and $60$ meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a rate of $5$ meters per second and swim at a rate of $1$ meter per second. How far along the shore should you run before jumping into the water in order to save the child? Round your answer to three decimal places.