Question 1194161
<br>
The fact that the problem asks for the answer in simplest radical form tells you you can't use a calculator to get an APPROXIMATE degree measure for angle A and try to work from there.<br>
Your answer is numerically approximately correct; and you obviously got that result using the law of sines, so I think you know what you are doing.  So I won't solve the problem for you, but rather point you in the right direction.<br>
To get the exact answer in simplest radical form, note that tan(A)=3/4 means sin(A)=3/5 and cos(A)=4/5.<br>
Now use the law of sines....<br>