We have obtained single-phase near-infrared magnitudes in the J and K bands for a sample of 78 RR Lyrae stars in the Sculptor dSph galaxy .
Applying different theoretical and empirical calibrations of the period-luminosity-metallicity relation for RR Lyrae stars in the infrared , we find consistent results and obtain a true , reddening-corrected distance modulus of 19.67 \pm 0.02 ( statistical ) \pm 0.12 ( systematic ) mag for Sculptor from our data .
This distance value is consistent with the value of 19.68 \pm 0.08 mag which we obtain from earlier V-band data of RR Lyrae stars in Sculptor , and the V magnitude-metallicity calibration of Sandage ( 1993 ) .
It is also in a very good agreement with the results obtain by Rizzi ( 2002 ) based on tip of the red giant branch ( TRGB , 19.64 \pm 0.08 mag ) and horizontal branch ( HB , 19.66 \pm 0.15 mag ) .