Answer
$A \approx 41.8103149^o$
Work Step by Step
Use a calculator and make sure you are in degrees mode.
$sin (A) = Opposite/ Hypotenuse$
Since the opposite side and hypotenuse are given, we will use the formula above to find A
$sin (A) = 8/12$
Now we will use inverse sine to find A
$sin^{-1} (8/12) = A$
Put that into a calculator.
$A \approx 41.8103149^o$
