Answer: <A= 66.5 degrees
Explanation:
sinA/14.6=sin(50)/12.2
Cross multiply so 12.2(sinA)=14.6(sin50)
So get sinA on a side by itself
sinA=14.6sin(50)/12.2 (so enter this into your calculator) the answer you should get is .91674171
Now we have to do the inverse to find the angle so sin^-1(.91674171)