  We have analyzed the long period, double-lined eclipsing binary system OGLE
SMC113.3 4007 (SC10 137844) in the SMC. The binary lies in the north-eastern
part of the galaxy and consists of two evolved, well detached, non-active G8
giants. The orbit is eccentric with e = 0.311 and the orbital period is 371.6
days. Using extensive high-resolution spectroscopic and multi-color photometric
data we have determined a true distance modulus of the system of m-M=18.83 +/-
0.02 (statistical) +/- 0.05 (systematic) mag using a surface brightness - color
relation for giant stars. This method is very insensitive to metallicity and
reddening corrections and depends only very little on stellar atmosphere model
assumptions. Additionally, we derived very accurate, at the level of 1%-2%,
physical parameters of both giant stars, particularly their masses and radii,
making our results important for comparison with stellar evolution models. Our
analysis underlines the high potential of late-type, double-lined detached
binary systems for accurate distance determinations to nearby galaxies.
