SOLUTION: I am standing at the shore. One mile east there is a point, also on the shore. One mile offshore and north from that point there is a boat in the water. It is moving westerly and p

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: I am standing at the shore. One mile east there is a point, also on the shore. One mile offshore and north from that point there is a boat in the water. It is moving westerly and p      Log On

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Question 890958: I am standing at the shore. One mile east there is a point, also on the shore. One mile offshore and north from that point there is a boat in the water. It is moving westerly and parallel to the shore at 25 mph. At what speed is it approaching me?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I am standing at the shore. One mile east there is a point, also on the shore. One mile offshore and north from that point there is a boat in the water. It is moving westerly and parallel to the shore at 25 mph. At what speed is it approaching me?
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a = distance of boat from shore = 1
b = distance of point from you = 1
s = distance from you to the boat.
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s%5E2+=+a%5E2+%2B+b%5E2+=+b%5E2+%2B+1
s+=+sqrt%28b%5E2%2B1%29
ds/dt = %281%2F2%29%2A%28b%5E2%2B1%29%5E%28-1%2F2%29%2A2* db/dt
ds/dt = 25%2Fsqrt%282%29+=+12.5sqrt%282%29
=~ 17.68 mi/hr