How Can a Swimmer Land Directly Across a River with a Current?

AI Thread Summary
A swimmer with a speed of 0.75 m/s in still water crosses a 72 m wide river but lands 54 m downstream due to the current. The speed of the river current is calculated to be 0.5 m/s, and the swimmer's velocity relative to the shore is 0.94 m/s. The discussion seeks assistance in determining the angle the swimmer must aim to land directly across from the starting position. One suggestion involves visualizing the problem as a triangle and inverting the angle to find the correct direction. The focus is on solving for the swimmer's aiming direction to counteract the current effectively.
F.B
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I really need help with this question

A swimmer who achieves a speed of 0.75 m/s in still water swims directly across a river 72 m wide. The swimmer lands on the far shore at a position 54 m down stream from the starting point.
a)Determine the speed of the river current.
b)Determine the swimmer's velocity relative to the shore.
c)Determine the direction the swimmer would have to aim to land directly across from the starting position.

I did (a) and (b).
For (a) i got 0.5 m/s
For (b) i got 0.94 m/s

I have no idea what so ever how to do (c). Can anyone please atleast help me with this one??
 
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Make this problem into a triangle and try inverting the angle.
 

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