First let's draw the vectors that correspond to the boat speed and the river speed.
The river speed is 2 m/s due east, and the boat speed is 3 m/s due north, so we have:
Addind these vectors, the resultant is:
In order to calculate the angle x, we can use the tangent relation, which is the opposite side to the angle over the adjacent side to the angle:
[tex]\begin{gathered} \tan (x)=\frac{3}{2} \\ \tan (x)=1.5 \\ x=56.31\degree \end{gathered}[/tex]
So the direction of the resultant is 56 degrees.
