According to common belief during the han dynasty, what would a cluster of calamities, prodigies, and heavenly omens usually portend?

In the Han Dynasty, a cluster of calamities, prodigies, and heavenly omens meant that the emperor had lost the mandate of Heaven. The success or failure of the people was thought to be controlled by the gods, along with who should rule. If an emperor was no longer deemed acceptable, natural disasters or disastrous occurrences were taken, then, that the emperor no longer held the gods' approval. This was reason enough to overthrow or replace him.

Remember soh-cah-toasoh: cah: toa: now, looking at the picture we can see that we have an angle, the hypotenuse and want to find the value of the adjacent side to the angle. so we use cah to find the adjacent angle. plug in what we have: we need to solve for x now so we get it by itself on one side: plug this into your calculator and you'll find that: