Final answer:
The false claim is 'I saw Polaris while I was on vacation in Australia', as Polaris is not visible in the southern hemisphere.
Step-by-step explanation:
Looking at each claim closely, we can determine which one must be false:
- Full moon close to the horizon: This is a common sight and is entirely possible, as the full moon is often seen near the horizon when it rises or sets.
- Sun not rising for more than a month: This occurs in regions within the Arctic or Antarctic Circles during their respective polar nights, which is a natural phenomenon.
- Saw Polaris in Australia: This claim must be false. The North Star, Polaris, is not visible in the southern hemisphere; it can be used for navigation only in the northern hemisphere.
- Moon in the sky during the day: The Moon can often be seen in the sky during the day, which is a normal occurrence.
- Lunar eclipse visible simultaneously in Toronto and Brazil: This is possible as lunar eclipses can be seen from anywhere on Earth where it is nighttime.
Therefore, the false claim is: I saw Polaris while I was on vacation in Australia.