Law of sines: #a/sinA=b/sinB=c/sinC#, where c is the length of the hypotenuse, C is the right angle (opposite the hypotenuse), and a and b are the legs, A and B are the legs' respective opposite angles
#(WY)/sin66=4/sin24 rarr# The missing angle (the one opposite side WX is 24 degrees; 180 minus 90 minus 66- the other two angle measures)
#WY*sin24=4*sin66#
#WY=(4*sin66)/sin24#
#WY~~9.0 rarr# The length of WY is approximately 9.0 (rounded from 8.984147096).