Here. We have a 13 foot ladder. Um, that it Lee against the house in the distance from the bottom of the ladder to the house is seven feet less in the distance, in the top of the ladder to the ground. So here we let, um, the lanes of the two sides here are well, X and X, minus seven in the length of the high pot. News is, well, 13 feet, right? So, um, by the degree in serum, when we get here is a triangle it right triangle. And we know that, um well, X squared plus X minus seven squared well, must be equal to 13 square. So we have while x squared. Plus, we square our X minus 7 10 X minus seven. We get X squared minus 14 x. Ah, plus 49 right Is equal to 13 squared, which is 100 and 69. So, um, send this equals zero. We get well, two X squared right expert plus expert is two x squared, and then we have while minus 14 axe and it's attract over the 1 69 So we get minus 120 is equal to zero um Well, we can do here and make numbers a little bit smaller, right? Everything is even. We have even coefficients everywhere. You go ahead and divide everything by two to get X squared. Minus seven. X minus 60 is equal to zero. Okay, um, for now we have a quadratic instead of form, um zero. Right? So we can go ahead, and we can use the quadratic formula here to solve for X. So we know that X is equal to, well, negative B plus or minus the square root of peace equipment. Its for a c all divided by to wait so X is equal to or negative. Be so. Here be is, um, native 73 a minus, minus seven or a positive seven, plus or minus the square root of B square. So negative seven squared minus four times a, which is just one time. See, which is negative. 60 all divided by two a. So right about you. There's one. There's two. So therefore we have that X is equal to well, seven plus or minus. This becomes our 17 over to. Okay, well, the distance here. We're right. We're trying to find a distance and distance must be positive. Didn't go ahead and throw out the negative value here. Just care about what seven plus 17 is, um 17 18 1920.1, French 20 24/2, which is 12. Right. We can throw out the seven minus 17 myself. Seven minus 17 over to is gonna be negative. And again, this is a distance, which must be which must be positive. So therefore, we have that X is equal to, um, Trump. Okay, So, um, rest for the distance of the bottom of the ladder from the house is well X minus seven, which is equal to well, 12 97 which is equal to five. So we have five feet, right?