To cross a river that is 1 km wide, with a current of 6 km/h, a novice boat skipper holds the bow of the boat perpendicular to the far riverbank, intending to cross to a point directly across the river from the launch point. At what position will the boat actually contact the far bank? What direction should the boat have been headed to actually reach a point directly across from the launch dock? The boat is capable of making 10 km/h.
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