A time traveler finds himself in an unknown place on Earth at an unknown time of the year. The sky is cloudy at night, so he cannot see the stars. During the day, fortunately, he can observe the sunrise and size of shadows at noon. On a particular date, the sun rises at 5:20 a.m. according to a local clock. At noon, a vertical pole casts a shadow that is 1.5 times longer than its height. a) What is the date? b) What is the local latitude? c) Can you be 100% certain of this date/location? Why or why not?