Question

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?

Answer 1

6.2

Step-by-step explanation:

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Answer 2

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.