Okay for this problem. We told their potential accident, and we're going to user quadratic knowledge in math understanding to solve for how much time this woman would need. Teoh, move if she's going to avoid something falling on her. Okay, So we know the formula provided for us is that we have hh equals two. Yes, my 16 t square. So that represents the height that the object is falling on. We also know that when they see the woman is five foot tall. So since you want to solve for the time we wanted to you beached by the time of which eat, it reaches five feet and s is the overall height. So I hate me, Said Drops is 12 feet. Sorry. Four stories. So it's four stories, but they say a story is 12 feet. So take a four stories times 12 48 feet kiss, then that's 48 minus 16. 90 squared. And based on the format of this equation, what I can do is I can of subtract 48 from both sides, get it into a format where I can use a square root method. So this shows us that negative 43 Negative. 16 square. Now I can the Bible sides by negative 16 to get rid of that. So divide by negative 16 divided by 1980 16. I'm gonna change this site that it's on here, so that cancels out something t square. In a good way it comes. Positive numbers of 43 divided by 16 is to classics 875 in the final step we have here in this format was a spirit method and take a spirit herbal size. So if we get this squared X squared, we get T. Technically, it's plus or minus. This were irritable sites. I'm gonna ignore the negative answer because there's no such thing as negative time. And if I take this, we're route of 2.875 I get 1.65 So 1.639 and this problem ask just around to the nearest 10th. So will this answer the final question here? So, um, just answer in a sentence. She has about 1.6 seconds to move out of the way. All right, so that's how we solve that problem.