Cassidy is a lifeguard and spots a drowning child 60 meters along the shore and 50 meters from the shore to the child. Cassidy runs along the shore for a while and then jumps into the water and swims from there directly to the child. Cassidy can run at a rate of 3 meters per second and swim at a rate of 0.8 meters per second. How far along the shore should Cassidy run before jumping into the water in order to save the child? Round your answer to three decimal places.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
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Cassidy is a lifeguard and spots a drowning child 60 meters along the shore and 50 meters from the shore to
the child. Cassidy runs along the shore for a while and then jumps into the water and swims from there
directly to the child. Cassidy can run at a rate of 3 meters per second and swim at a rate of 0.8 meters per
second. How far along the shore should Cassidy run before jumping into the water in order to save the child?
Round your answer to three decimal places.
Transcribed Image Text:50 40- 30 20 10- -10 10 20 30 40 50 60 Cassidy is a lifeguard and spots a drowning child 60 meters along the shore and 50 meters from the shore to the child. Cassidy runs along the shore for a while and then jumps into the water and swims from there directly to the child. Cassidy can run at a rate of 3 meters per second and swim at a rate of 0.8 meters per second. How far along the shore should Cassidy run before jumping into the water in order to save the child? Round your answer to three decimal places.
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