We can find x as follows :
Area = (1/2) * x^2 * sin(27°)
8 = (1/2) * x^2 * sin(27°) multiply both sides by 2
16 = x^2 * sin (27°) divide both sides by sin (27°)
[ 16 / sin (27°) ] = x^2 take the square root of both sides
sqrt [ 16 / sin (27°) ] = x ≈ 5.937 cm^2