  We report five measurements of the transverse baryonic acoustic scale,
$\theta_{BAO}$, obtained from the angular two-point correlation function
calculation for Luminous Red Galaxies of the eleventh data release of the Sloan
Digital Sky Survey (SDSS). Each measurement has been obtained by considering a
thin redshift shell ($\delta z = 0.01$ and $0.02$) in the interval $ z \in
[0.565, 0.660] $, which contains a large density of galaxies ($\sim 20,000$
galaxies/redshift shell). Differently from the three-dimensional Baryon
Acoustic Oscillations (BAO) measurements, these data points are obtained almost
model-independently and provide a Cosmic Microwave Background (CMB)-independent
way to estimate the sound horizon $ r_s $. Assuming a time-dependent
equation-of-state parameter for the dark energy, we also discuss constraints on
the main cosmological parameters from $\theta_{BAO}$ and CMB data.
