You arrange to meet a friend at 5: 00 p. m. on valentine’s day on the observation deck of the empire state building in new york city. you arrive right on time, but your friend is not there. she arrives 5 minutes late and says the reason is that time runs faster at the top of a tall building, so she is on time but you were early. is your friend right? does time run slower or faster at the top of a building, as compared with its base? is this a reasonable excuse for your friend arriving 5 minutes late?