The origins of Ultra High Energy Cosmic Rays (UHECRs) remain unclear. A significant difficulty in identifying their sources is the complex deflection of charged particles by galactic and intergalactic magnetic fields. Our goal is to detect high-energy neutrinos produced through interactions between UHECRs and matter near astrophysical objects, to help elucidate their origins. In this study, we utilize data from the Telescope Array surface detector (TA SD) to search for neutrino-induced air showers. To achieve this, we have developed an analysis method using Monte Carlo (MC) simulations. Our approach focuses on inclined air showers, as both the probability of interaction and the efficiency of background rejection increase at larger zenith angles. Since standard TA analyses limit zenith angles below 55 degrees, this study rigorously examines the validity of thinning and dethinning processes in MC simulations at larger zenith angles. To minimize variations in shower characteristics, we concentrate on showers produced by electron neutrinos through charged current interactions. This study will not only present a detailed analysis method but also discuss the characteristics of neutrino-induced air showers, which are essential for distinguishing them from background events.