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A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The


  

A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. Hint: Can you figure out this optimum angle? With the boat traveling in the direction of the optimum angle, can you calculate the time needed for it to reach a distance of 0.6 km from shore? What else happened in that time? How far from the dock does the boat reach the child? d =

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