we are given
angles as
Y=27
X=92
W=62
we can use law of sines to find relationship
[tex] \frac{yx}{sin(W)}=\frac{yw}{sin(X)} [/tex]
now, we can plug W and X
[tex] \frac{yx}{sin(61)}=\frac{yw}{sin(92)} [/tex]
[tex] yx=\frac{sin(61)}{sin(92)}*yw [/tex]
we can plug values
and we get
[tex] yx=0.87515yw [/tex]............Answer