Simple boat and river question(Vectors)

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To row directly across a river while accounting for the current, Pierre must adjust his heading angle. Given his rowing speed of 10 km/h and the river's current of 6 km/h, he should calculate the angle using vector addition. The equation Vbg = Vbw + Vwg helps determine the necessary angle relative to the shore. By solving this, Pierre can ensure he reaches the opposite bank without being swept downstream. Understanding these vector components is crucial for successful navigation across the river.
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Homework Statement



In his rowboat, Pierre heads directly across a river at a speed of 10 km/h. The river is 120m wide and is flowing at 6 km/h.

Suppose Pierre wants to row directly across the river. At what angle relative to the shore should he head?

I would really appreciate help with this question, since I know that it is suppose to be straight forward and for some reason I just can't solve it! must be because I didn't have much of a sleep.

thanks alot
 
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Vbg = Vbw + Vwg
where Vbg is the velocity of the boat relative to the ground, Vbw is the velocity of boat relative to water, Vwg is the veloctiy of the water relative to the ground.
 
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