40 30 20 10 -10 10 20 30 Brianna is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. Brianna runs along the shore for a while and then jumps into the water and swims from there directly to the child. Brianna can run at a rate of 4 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should Brianna run before jumping into the water in order to save the child? Round your answer to three decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 37E
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Brianna is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to
the child. Brianna runs along the shore for a while and then jumps into the water and swims from there
directly to the child. Brianna can run at a rate of 4 meters per second and swim at a rate of 1.2 meters per
second. How far along the shore should Brianna run before jumping into the water in order to save the child?
Round your answer to three decimal places.
30
Transcribed Image Text:40 20 10 -10 10 20 30 10 Brianna is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. Brianna runs along the shore for a while and then jumps into the water and swims from there directly to the child. Brianna can run at a rate of 4 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should Brianna run before jumping into the water in order to save the child? Round your answer to three decimal places. 30
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