anonymous
  • anonymous
Related Rates The sailor sails his boat at a constant speed of 12km/h staying 4km from and parallel to a straignt shoreline. How fast is the boat approaching a lighthouse on shore where boat 5km from the lighthouse?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Loser66
  • Loser66
pic?
anonymous
  • anonymous
|dw:1433040585514:dw| I'm not sure though...
Loser66
  • Loser66
|dw:1433040673042:dw|

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More answers

anonymous
  • anonymous
oh, okay
Loser66
  • Loser66
I think just take distance/ velocity = time
anonymous
  • anonymous
The 12km/h, is going negative?
Loser66
  • Loser66
how?
Loser66
  • Loser66
12km/h = 12km/ 60 minutes, that is 1minute/ 0.2 km you have 5 km, then, it takes 25 minutes to finish the distance, right?
anonymous
  • anonymous
I remember something about -12km/h from my teacher, but I'm not sure though.
Loser66
  • Loser66
if velocity has negative sign, that shows the replacement is opposite way to what you define positive direction. In this case, they use "speed" not velocity, hence, no negative here, period.
rational
  • rational
hey still stuck on this
anonymous
  • anonymous
Yes @rational I'll be right back, I have to eat dinner
anonymous
  • anonymous
I'm back @rational
amistre64
  • amistre64
so want to know the rate of change of the 'hypotenuse' of this triangle; what can we use to model the length of the hypotenuse?
amistre64
  • amistre64
|dw:1433045913122:dw|
amistre64
  • amistre64
d^2 = b^2 + 4^2 implicit derivative gives us 2d d' = 2b b' d' = b' b/d we know b' and b, and can determine d
amistre64
  • amistre64
or we know b' and d ... and can determine b either way
anonymous
  • anonymous
b=3?
anonymous
  • anonymous
|dw:1433046508888:dw| ???
anonymous
  • anonymous
@amistre64
anonymous
  • anonymous
@rational
anonymous
  • anonymous
Given dx/dt =12km/h, find dz/dt=? when z=5km x^2+y^2=z^2 (2x)(dx/dt)+(2y)(dy/dt)=(2z)(dz/dt) ???
anonymous
  • anonymous
May the answer be 36/5=dz/dt??
rational
  • rational
36/5 looks good!
anonymous
  • anonymous
My teacher said something about -12km/h, but dont know why...
anonymous
  • anonymous
Should it be -36/5km/h?? hmmm... :/
anonymous
  • anonymous
@rational ??
rational
  • rational
yes, because the distance between lighthouse and boat is reducing
anonymous
  • anonymous
What do you mean?
rational
  • rational
in the diagram the boat is approaching near to the light house, yes ?
anonymous
  • anonymous
yes
rational
  • rational
since the distance is decreasing, the velocity is negative
rational
  • rational
the distance is decreasing at a rate of 36/5 km per hour is same as saying the distance is increasing at a rate of \(\color{red}{-}\)36/5 km per hour
rational
  • rational
i have a debt of $100 is same as saying i have -$100
anonymous
  • anonymous
Oh I see! Thanks lots!

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