We investigate the possibility of using the cross-correlation of the Lyman-α forest and redshifted 21-cm emissionto detect the baryon acoustic oscillation (BAO). The standard Fishermatrix formalism is used to determine the accuracy with which it willbe possible to measure cosmological distances using this signal. Earlier predictions [1] indicate that it will be possible to measure the dilation factor DV with 1.9% accuracy at z = 2.5from the BOSS Lyman-α forest auto-correlation. In this paper we investigate if it is possible to improve the accuracy usingthe cross-correlation.We use a simple parametrization of the Lyman-α forest survey whichvery loosely matches some properties of the BOSS.For the redshifted 21-cm observations we consider a hypothetical radio interferometric array layout.It is assumed that the observations spanz = 2 to 3 and covers the 10,000 deg2 sky coverage of BOSS. We find that it is possible tosignificantly increase the accuracy of the distance estimates byconsidering the cross-correlation signal.