Big Ben, the clock tower in London, casts a shadow that is 100 ft long. At the same time, A double decker bus that is 15.6 ft tall casts a shadow that is 5 ft long. How tall is
Big Ben?

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?