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A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.35 km/hr. The child is 0.625 km from shore and 0.800 km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximum speed of 18.6 km/hr relative to the water, what heading relative to the shore should the pilot take?

What angle does the boat velocity make with the shore?

How long does it take the boat to reach the child?

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