The answer is 81/8
Alternative Forms:
10 1/8 or 10.125
The error is that the student measured the wrong side. Acute angles are less than 90 degrees. So it isn’t possible for the measure to be over 90. The correct measure is 49
Find the rectangle area
A = 8*4 = 32 in²
Find the height of trapezoid
8-4 = 4 in
Find the area of trapezoid
(5,3+8)*4/2 = 13,3*4/2 = 53,2/2 = 26,6 in²
Find the figure area
26,6+32 = 58,6 in²
sinR = 
noting that the sin ratio = 
opposite to ∠P is QR and hypotenuse is PQ ( opposite right angle )