Answer
$x\approx 2.92$
$y \approx 3.11$
Work Step by Step
There are two right triangles with hypothenuses $x$ and $y$ respectively
For first triangle:
$x\times \sin 20=1\Rightarrow x=\dfrac {1}{\sin 20}\approx 2.92$
For second triangle
$y\times \cos 20=x\Rightarrow y=\dfrac {x}{\cos 20}\approx 3.11$