Answer
$\boldsymbol{v}=\langle45.96,38.568\rangle$.
Work Step by Step
Imagine a velocity vector $\boldsymbol{v}=\langle x,y\rangle$. We know $|\boldsymbol{v}|=60\frac{ft}{s}$ and $\theta=40^\circ$ from the x axis. In order to find the components of $\boldsymbol{v}$, we apply trigonometry.
$x=60\cos{40^\circ}=60\times0.766=45.96\frac{ft}{s}$
$y=60\sin{40^\circ}=60\times0.6428=38.568\frac{ft}{s}$
