A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.60km/h. The child is 0.565km from shore and 0.790km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximum speed of 21.9km/h relative to the water, what heading relative to the shore should the captain take? what angle (in degrees) does the boat velocity make with the shore? How long does it take the boat to reach the child?
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