A ladder 7m long leans against a wall .its foot is 2m from the wall.calculate how far from the wall the ladder reaches
Is there another method
Well, I'd say if the foot is 2m from the wall, the ladder reaches 2m from the wall ...
But, since you probably want to know the third side of the triangle,
Use the Pythagorean Theorem
√(7^2 - 2^2) = √45 = 6.7 m
Rita what r u doing here
Another method
To calculate how far from the wall the ladder reaches, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the wall and the ground. The length of the ladder (hypotenuse) is 7m, and the distance of its foot from the wall is 2m. You want to find the distance from the wall where the ladder reaches.
Let's denote the distance from the wall where the ladder reaches as "x." According to the Pythagorean theorem:
x^2 + 2^2 = 7^2
Simplifying the equation:
x^2 + 4 = 49
Subtracting 4 from both sides:
x^2 = 45
To find the value of x, we need to take the square root of both sides:
√(x^2) = √45
x = √45
Now we can calculate the approximate value of x:
x ≈ 6.71 m
Therefore, the ladder reaches approximately 6.71 meters from the wall.