A measurement of the lateral distribution of Cherenkov light in Extensive Air Showers ( EAS ) at E _ { \circ } = 10 \div 100 TeV and a study of the compatibility of the photon number spectra with the expectations from the direct measurements of p and \alpha spectra and the Corsika-QGSJET propagation code in the atmosphere have been performed at the National Gran Sasso Laboratories by the EAS-TOP and MACRO arrays . The telescope array of EAS-TOP has been used as the Cherenkov light detector . The muon tracking system of MACRO in the deep underground Gran Sasso Laboratories ( E _ { \mu } > 1.3 TeV ) served as the EAS detector , including core localization and arrival direction .