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A small radio transmitter broadcasts in a 40 mile radius. If you drive along a straight line from a city 52 miles north of the transmitter to a second city 46 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

 

PLS HELP i cant solve this :((

 Jun 15, 2022
 #1
avatar+124676 
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We could get an algebraic solution, but a graph seems easier :

 

 

The toal length of the drive  ≈  73.54  miles

 

You are within the transmission range for  ≈ 31.5 miles

 

So

 

31.5 /  73.54 ≈ .428  =   42.8%  of the time    (assuming a constant speed)

 

 

cool cool cool

 Jun 15, 2022

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