To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Let the height that the ladder reaches be represented by "h". We can then solve for the length of the ladder using the Pythagorean theorem.
Using the given information, we have:
Leg 1 (vertical distance): h
Leg 2 (horizontal distance): 6 ft
Hypotenuse (length of the ladder): 12 ft
Using the Pythagorean theorem, we can write the equation:
h^2 + 6^2 = 12^2
Simplifying:
h^2 + 36 = 144
h^2 = 108
Taking the square root of both sides:
h = sqrt(108)
h ≈ 10.4 ft
Therefore, the ladder will reach approximately 10.4 ft high so that Sylvia can replace the siding.
Sylvia is replacing a piece of siding on our house to make the 12-ft ladder stable the bottom of the ladder needs to be 6 ft from the base of her house applying a pathogram theorem and round into the nearest tenth how high will the ladder reach so that Sylvia can replace the side 180 ft 10.4 ft 108 ft 13.4 ft
1 answer