In this paper, the line of sight (LOS) propagation model in visible light communication for a receiver with tilting plane is precisely derived. In addition, a relatively simple and reasonably accurate model of LOS propagation is proposed to employ received signal strength algorithm. Then, the maximum likelihood estimator is applied in range estimation where a new shot noise (RSN) source as a function of received signal power, is considered. Moreover, the Cramer-Rao lower bound is derived in closed form by considering RSN and tilting plane. Next, the influence of the Lambertian emission order on the channel model is investigated, theoretically and the optimum value of the Lambertian emission order is presented. Finally, performance is evaluated numerically.