Doug C. answered • 03/23/23
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Emmy S.
asked • 03/23/23Related Rates Problem
At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
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Raymond B. answered • 03/23/23
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a'=25, b'=20
a=130-4(25)=30
b=4(20)= 80
d^2=30^2+80^2=7300
d=10sqr73
d^2=a^2+b^2
dd'=aa'+bb'
d'10sqr73= 30(25)+80(20)=750+1600=2350
d'=235/sqr73= 235sqr73/73
d'=about 27.505 km/h
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