A 18 foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 10 feet from the base of the building how high up the wall does the ladder reach

mmk so i got approximately 14.9667. you might round to 15 idk.

Step-by-step explanation:

i always forget abt this thing but its important to remember the pythagorean theorm is a thing. the whole a^2 + b^2 = c^2 thing. at first i looked back at sohcahtoa but thats for an angle lol. s, knowing that the hypotenuse is the ladder and the ground is the base and seeing that we need to find a since b is the base and c is the hypotenuse, we should rearrange the equation so that we can find a so now it should look like this: c^2 - b^2 = a^2. then we plug in our numbers to get this: 18^2 - 10^2 = a^2. next we would square the 18 and 10 so now our equation looks like this: 334 - 100 = a^2. now we subtract so we have: 224 = a^2. then we should find the square root of each. the square root of a^2 is a and the square root of 224 is 14.96662955... so now we have the a = 14.9667. i hope that makes sense.

make sure to comment if i need to clear anything up or if i made something confusing :). i hope this helps :))