Answer
|$\textbf{V}_{x}$|=12.6
|$\textbf{V}_{y}$|= 5.66
Work Step by Step
|$\textbf{V}_{x}$|=$| \textbf{V}| \cos \theta= 13.8\times\cos 24.2^{\circ}=12.6$
|$\textbf{V}_{y}$|=$| \textbf{V}| \sin \theta= 13.8\times\sin 24.2^{\circ}=5.66$
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