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Solve the all parts of given problem:

Problem: To cross a river that is 1 km wide, with a current of 6km/h, a novice boat skipper holds the bow of the boat perpendicular to the far river bank, intending to cross to a point directly across the river from the launch point.

Part A: At what point will the boat actually contact the far bank?

Part B: What direction should the boat has been headed to actually reach a point directly across from the launch dock? The boat is capable of 10km/h.

Please show the work for the calculation so I can understand what I'm doing in above problem. Thanks!

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