How far from the wall must you place à ladder of length 12m , if the ladder is to touch a point 10m above the ground?
B= square root of 44
B= 44m
sqrt 44 = 6.63 m
6.63^2 + 10^2 = 12*2
To answer this question, we can use the Pythagorean Theorem, which relates the lengths of the sides of a right triangle.
In this case, the ladder is one side of the right triangle, the wall is the other side, and the distance from the ground to the point where the ladder touches the wall is the hypotenuse.
Let's call the distance from the wall to the base of the ladder "x". We can set up the following equation using the Pythagorean Theorem:
x^2 + 10^2 = 12^2
This equation states that the square of the distance from the wall plus the square of the distance from the ground to the point where the ladder touches the wall equals the square of the length of the ladder.
Simplifying this equation, we have:
x^2 + 100 = 144
Subtracting 100 from both sides, we get:
x^2 = 44
Now, we can take the square root of both sides to solve for x:
√(x^2) = √44
x = √44
x ≈ 6.63 meters
So, you must place the ladder approximately 6.63 meters from the wall.