A pilot flies his airplane from an initial position to a position $230\mathrm{.}7$ km north. His airplane flies with a speed of $227\mathrm{.}3$ km$/$h with respect to the air. There is wind blowing west to east. The pilot steers his airplane using a heading of $350\mathrm{.}73\backslash$deg to accomplish this trip assuming north is $360\backslash$deg $,$ east is $90\backslash$deg $,$ south is $180\backslash$deg $,$ and west is $270\backslash$deg $.$ What is the speed of the wind?