Here's a breakdown of why it's not a simple answer:
* Distance is constantly changing: Stars, including Polaris and the Sun, are in constant motion. So, the distance between them isn't fixed.
* Light travel time: We see stars as they were in the past because light takes time to travel to us. The 434 light-year figure is a measure of how long it took the light we see from Polaris today to reach us.
Let me know if you have any more questions about stars or astronomy!