An x-ray beam of wavelength A undergoes first-order reflection from a crystal when its angle of incidence to a crystal face is 27 °, and an x-ray beam of wavelength 96 pm undergoes third-order reflection when its angle of incidence to that face is 60°. Assuming that the two beams reflect from the same family of reflecting planes, find (a) the interplanar spacing and (b) the wavelength A.