  The Baryon Acoustic Oscillations (BAO) feature in the clustering of galaxies
or quasars provides a ``standard ruler" for distance measurements in cosmology.
In this work, we report a $2\sim3\sigma$ signal of the BAO dip feature in the
galaxy density-ellipticity (GI) cross-correlation functions using the
spectroscopic sample of the Baryon Oscillation Spectroscopic Survey (BOSS)
CMASS, combined with the deep DESI Legacy Imaging Surveys for precise galaxy
shape measurements. We measure the GI correlation functions and model them
using the linear alignment model. We constrain the distance
$D_V/r_{\mathrm{d}}$ to redshift $0.57$ to a precision of $3\sim5\%$, depending
on the details of modeling. The GI measurement reduces the uncertainty of
distance measurement by $\sim10\%$ on top of that derived from the
galaxy-galaxy (GG) correlation. More importantly, for future large and deep
galaxy surveys, the independent GI measurements can help sort out the
systematics in the BAO studies.
