58
This problem is an example of how you can you use Pythagarus. His thereom has to do with right triangles. The formula is a2 + b2 = c2. The letters a and b represent the two legs, while c is the the hypotenuse. The hypotenuse is the side oppostie of the right angle. In the example you mentioned, the wall and the floor make a right angle. The ladder's 40 feet height is the hypotenuse. The 18 feet it is from the wall is one of legs. a = 18, b = b (the variable), c= 40. Let's plug this into the formula. 182 + b2 = 402 Then figure out what those two squared are. 342 + b2 = 1600 Then subtract the 342 to get b squared by itself. -344 -342 ------------------------ b2 = 1258 So b squared equals 1258. But you're not done. To find out what b is, you have to take the square root of each side. So your answer is 35.4682957 feet. Rounded that would be about 35.47 feet.
12
93
16
on a wall it would be 100 square feet.
3 ft
12
13
9
12 feet.
Using Pythagoras' theorem it is 20 feet
10,000 m
14
62+82=36+64=100 and the squared route of 100 is 10
assuming the wall and ground make a 90 degree angle with one another, Pythagorean's Theorem states the ladder will go 8 feet up the wall.
The best tip I've come to is that for every four feet of height you have to climb, move the base one foot away from the wall. Better still is to have someone foot the ladder, or to fasten the ladder with a rope, preferably near the top of the ladder to avoid the ladder sliding sideways.
12 feet. It is actually pretty easy, if you remember that a 3x4x5 triangle is always a right angle. divide by 3 and you have the 3 and 5 all you need is the four multiplied by 3.
Assuming you mean "foot of the ladder": Sqrt(144 - 81) ie sqrt 63 = 7 feet 11¼ inches. If you mean what you wrote then zero distance!