Find the height of the wall, the ladder is 11m and the width is 8m
To find the height of the wall, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse (the longest side, which is the ladder) is equal to the sum of the squares of the other two sides.
Let h be the height of the wall.
By applying the Pythagorean theorem, we have:
h^2 + 8^2 = 11^2
Simplifying the equation:
h^2 + 64 = 121
h^2 = 57
Taking the square root of both sides:
h ≈ √57
h ≈ 7.55
Therefore, the height of the wall is approximately 7.55 meters.
To find the height of the wall, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, and the width of the wall is one side of the right triangle.
Let's use the formula:
c^2 = a^2 + b^2
where c is the length of the ladder (11m) and a is the height of the wall that we want to find.
Plugging in the values:
11^2 = a^2 + 8^2
121 = a^2 + 64
Rearranging the equation to solve for a:
a^2 = 121 - 64
a^2 = 57
Taking the square root on both sides:
a = √57
Hence, the height of the wall is approximately √57 meters.