The surface temperature of an absorbing particle trapped in optical tweezers (OTs) is measured using a mixture of two fluorescent dyes. We analyze the dependence of temperature on both laser power and the radial distance from its surface, and we verify the 1/r decrease of temperature with increasing distance from the particle surface. We detect the variations of spectral profiles as the medium temperature changes. The temperature dependent signal, i.e., the ratio of summed intensities from two distinct spectral regions, is affected by the convolution of temperature profile with transfer function of the spectroscopic system. We analyze this effect and determine the temperature increase on the surface of a core-shell particle trapped by OTs.