Answer
$47,17$
Work Step by Step
The horizontal component $x$ and vertical component $y$ of a vector $\textbf{v}$ having magnitude $|\textbf{v}|$ and direction angle $\theta$ are:
$x=|\textbf{v}|\cos\theta$ and $y=|\textbf{v}|\sin\theta$
Substituting the values of $|\textbf{v}|=50$ and $\theta=20^{\circ}$,
$x=50\cos20^{\circ}\approx47$
$y=50\sin20^{\circ}\approx17$
Therefore, $|\textbf{v}|=\langle 47,17 \rangle$