astronomy question, input requested

I argued for must'a been 15 minutes one time trying to convince a friend of mine that light, just like radio waves DO take time to travel, and that "he really was not seeing the sun where it was because it had moved by the time the light got here."

Someone else (now gone) was firmly convinced that if there is an energy (a something) called heat, then there SURE as 'ell must be "cold" because "I can feel it."