40.69. 47.99*.2=9.598. Round it to 9.6 and then subtract from 47.99. Equals 38.39. 38.39*1.06 equals 40.69.
<span>On the one hand we know that sin(30) = 1/2. On the other hand we know that sin(A) = a/c. From these two relations we obtain that 1/2 = a/c <=> 1/2 = a/12 <=> a = 12*1/2 <=> a = 6. So the answer is D. 6cm.</span>