Answer
As a result $\theta=36.87^\circ$.
Work Step by Step
We are give the vector $\langle 8,6\rangle$. In order to find the angle between the vector and the x-axis we can turn the vector into a right triangle and then apply trigonometry in order to solve for the angle.
$\tan{\theta}=\frac{6}{8}\Rightarrow\theta=\arctan{\frac{6}{8}}=36.87^\circ$
