a 23 foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 18 feet from the base. how high up the wall does the ladder reach?
√(23^2-18^2)
23
Instead of posting wrong answers, why don't post the actual answer or nothing at all?
To find out how high up the wall the ladder reaches, we 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 distance from the base of the ladder to the wall (18 feet) is one side, while the height we want to find is the other side.
Let's call the height we want to find "h." The distance to the base of the ladder is given as 18 feet, and the length of the ladder is given as 23 feet.
Using the Pythagorean theorem, we have:
h^2 + 18^2 = 23^2.
Simplifying this equation further:
h^2 + 324 = 529.
Subtracting 324 from both sides of the equation:
h^2 = 529 - 324 = 205.
Taking the square root of both sides:
√(h^2) = √205,
h = √205.
Therefore, the ladder reaches approximately 14.317 feet (rounded to three decimal places) up the wall.