Asked by jau
A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 6 ft higher than the front of the boat. The rope is being pulled through the ring at the rate of 0.2 ft/sec. How fast is the boat approaching the dock when 10 ft of rope is out?
Answers
Answered by
Steve
As always, draw a diagram. It is clear that if the length of the rope is z when the boat is x ft from the dock,
z^2 = x^2+36
z dz/dt = x dx/dt
Figure x when z=10, then just plug in your numbers and solve for dx/dt.
z^2 = x^2+36
z dz/dt = x dx/dt
Figure x when z=10, then just plug in your numbers and solve for dx/dt.
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