Answer:
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
