Answer
$\textbf{V}_{x}=367$
$\textbf{V}_{y}=110$
Work Step by Step
$\textbf{V}_{x}=|\textbf{V}|\cos\theta=383\times\cos(16^{\circ}40')=383\times\cos(16\frac{2}{3})^{\circ}$
$=383\times\cos(\frac{50}{3})^{\circ}=367$
$\textbf{V}_{y}=|\textbf{V}|\sin\theta=383\times\sin(16^{\circ}40')=383\times\sin(\frac{50}{3})^{\circ}=110$