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A photometric redshift sample of Luminous Red Galaxies (hereafter LRGs)obtained from The DECam Legacy Survey (DECaLS) is analysed to probe cosmicdistances by exploiting the wedge approach of the two-point correlationfunction. Although the cosmological information is highly contaminated by theuncertainties existing in the photometric redshifts from the galaxy map, anangular diameter distance can be probed at the perpendicular configuration inwhich the measured correlation function is minimally contaminated. An ensembleof wedged correlation functions selected up to a given threshold based onhaving the least contamination was studied in the previous work(arXiv:1903.09651v2 [astro-ph.CO]) using simulations, and the extractedcosmological information was unbiased within this threshold. We apply the samemethodology for analysing the LRG sample from DECaLS which will provide theoptical imaging for targeting two-thirds of the DESI footprint and measure theangular diameter distances at $z=0.69$ and $z=0.87$ to be $D_{A}(0.697)=(1499\pm 77\,\mathrm{Mpc})(r_{d}/r_{d,fid})$ and $D_{A}(0.874)=(1680 \pm109\,\mathrm{Mpc})(r_{d}/r_{d,fid})$ with a fractional error of 5.14% and 6.48%respectively. We obtain a value of $H_{0}=67.59\pm5.52$ km/s/Mpc which supportsthe $H_0$ measured by all other BAO results and is consistent with $\Lambda$CDMmodel.

The clustering of LRGs in the DECaLS DR8 footprint: distance constraints from baryon acoustic oscillations using photometric redshifts