Answer
$38.3\ cm$
Work Step by Step
One way is to use the Law of Sines to find angle $W$ first, then angle $P$, and then length $CW$.
Let $x=CW$, we can also use the Law of Cosines to get $28.6^2=x^2+11.2^2-2x(11.2)cos25.5^\circ\longrightarrow x^2-20.22x-692.52=0$. Solve the equation with a formula or graphically as shown, we have $x\approx38.3\ cm$
