Find the value of y round to the nearest tenth! laws of sin !

43.5

Step-by-step explanation:

We first need to find 'x', then the missing angle to solve for y.

We start with..

(Sin 42)/31 = (Sin X)/37

   solving for X

      37(Sin 42)/31 = Sin X  (multiply both sides by 37 to isolate Sin X)

        0.798639756 = Sin X

          Sin^(-1) 0.798639756 = X

                         53° = X

Now we can find the missing angle needed to solve for y

42° + 53° + Y = 180°

     So Y = 85°

Solving for y gives us...

(Sin 42)/31 = (Sin 85)/y

           y(Sin 42) = 31(Sin 85)      (cross multiply)

           y = 31(Sin 85)/(Sin 42)    (divide both sides by Sin 42 to isolate y)

             y = 46.2     (rounded to the nearest tenth