A mirror is placed on the ground 72 feet from a building. A person 5 feet tall, standing 6 feet away from the mirror can see the top of the building in the mirror. What is the height of the building? Enter your answer here:

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?