Question
A 10 ft ladder leans against the side of a house . The bottom of the ladder is 5 ft
Answers
GPT 3.5
from the house. How far up the side of the house does the ladder reach?
To find out how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder) is equal to the sum of the squares of the other two sides.
Let's denote the distance up the side of the house where the ladder reaches as "x".
Using the Pythagorean theorem, we have:
(5 ft)^2 + x^2 = (10 ft)^2
25 + x^2 = 100
x^2 = 100 - 25
x^2 = 75
Taking the square root of both sides, we get:
x = √75
x ≈ 8.66 ft
Therefore, the ladder reaches approximately 8.66 ft up the side of the house.
To find out how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder) is equal to the sum of the squares of the other two sides.
Let's denote the distance up the side of the house where the ladder reaches as "x".
Using the Pythagorean theorem, we have:
(5 ft)^2 + x^2 = (10 ft)^2
25 + x^2 = 100
x^2 = 100 - 25
x^2 = 75
Taking the square root of both sides, we get:
x = √75
x ≈ 8.66 ft
Therefore, the ladder reaches approximately 8.66 ft up the side of the house.