Find the angle the boat has to head

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    Angle Boat Head
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To determine the heading angle of a boat traveling across a river with a current, the boat's speed in still water (8.2 m/s) and the river's current speed (4.5 m/s) must be considered. The goal is to reach a point 100 meters upstream on the opposite shore while crossing a 477-meter-wide river. A triangular approach can be used to visualize the problem, where the speeds represent the sides of the triangle. Adjustments in heading and speed are necessary in real-world scenarios to account for the current. The discussion emphasizes the importance of compensating for the current to reach the desired landing point.
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Homework Statement


A boat, which can travel at 8.2 m/s in still water, heads directly across a river which has a current of 4.5 m/s and is 477 meters wide. What should the heading of the boat be in order for it to land at a point on the opposite shore exactly 100 m upstream from the starting point?


Homework Equations


Not sure


The Attempt at a Solution


I really don't know where to start
Thanks for the help!
 
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I'd think of it as a triangle. You have the speed across (8.2 m/s), the base 477 m and the speed along the short side 4.5 m/s. That's the geometry answer, but it's simple.
Of course, in the real world you just keep adjusting the boat to get to the point you want to go. You start off, realize your going down stream, and adjust your angle upstream to compensate. You change your speed a lot too, but that's the real world of boats.
 
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