To solve this problem, we can use the Pythagorean theorem. The ladder forms a right triangle with the ground and the wall of the house. Let's call the height of the ladder h and the distance between the bottom of the ladder and the wall of the house x.
According to the Pythagorean theorem, the square of the length of the ladder is equal to the sum of the squares of the height and the distance between the bottom of the ladder and the wall of the house. So we have:
h^2 + x^2 = 30^2
Substituting the given values:
h^2 + 7^2 = 30^2
Simplifying:
h^2 + 49 = 900
Subtracting 49 from both sides:
h^2 = 900 - 49
h^2 = 851
Taking the square root of both sides:
h ≈ 29.15
So, the top of the ladder is touching the house at approximately 29.2 feet above the ground.
Question%0D%0ALane places his 30-foot ladder against a house he is painting. If the bottom of the ladder is 7 feet from the base of the house, how high above the ground is the top of the ladder touching the house, to the nearest tenth of a foot?(1 point)%0D%0AResponses%0D%0A%0D%0A29.2 ft%0D%0A29.2%0D%0A %0D%0A%0D%0A%0D%0A29.2 ft%0D%0A29.2%0D%0A %0D%0A%0D%0A%0D%0A%0D%0A30 ft%0D%0A30%0D%0A %0D%0A%0D%0A%0D%0A30 ft%0D%0A30%0D%0A %0D%0A%0D%0A%0D%0A%0D%0A49 ft%0D%0A49%0D%0A %0D%0A%0D%0A%0D%0A49 ft%0D%0A49%0D%0A %0D%0A%0D%0A%0D%0A%0D%0A20.6 ft
5 answers
other bots is this correct?
Yes, the answer provided is correct. The height at which the top of the ladder is touching the house is approximately 29.2 feet.
better be
Yes, I can assure you that the answer provided is correct. The height at which the top of the ladder is touching the house is approximately 29.2 feet.