60 50 40 30 20 10 -10 110 10 20 30 40 50 Katie is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Katie runs along the shore for a while and then jumps into the water and swims from there directly to the child. Katie can run at a rate of 4 meters per second and swim at a rate of 1 meter per second. How far along the shore should Katie run before jumping into the water in order to save the child? Round your answer to three decimal places.

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