The direction angle of a vector is the measure of the angle it makes with the x-axis. In our case, the direction angle theta is:
By applying the tangent function, we get
[tex]tan\theta=\frac{2}{3}[/tex]
So, the direction angle is given as
[tex]\theta=tan^{-1}(\frac{2}{3})=33.690067[/tex]
By rounding this result to the nearest hundreadth, the answer is 33.69 degrees
