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A boat is headed due east across a river at a velocity of 25 meters/second with respect to the water. The velocity of the river current is 2.7 meters/second due north. What is the angle at which the boat will deviate from its original path?

Verified Answer :

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V(b-w)= 25i +0j 

V(w) = 0i +2.7j 

The resultant velocity V(b -w) =Vb -Vw

Therefore Vb = 25i+2.7j 

The angle is calculated as follows:

ArcTan 2.7/25 = 6.16 degrees

The angle at which the boat will deviate from its original path would be 6.2 degrees. Hope this answers the question. Have a nice day.

Answer:

6.2

Explanation:

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