Question
A skateboard rail rises 5 feet over a run of 6 feet. What is the length of the rail?
Answers
GPT 3.5
The length of the rail can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the length of the rail is the hypotenuse, and the rise of 5 feet and the run of 6 feet are the other two sides of the right triangle.
Using the Pythagorean theorem:
Length^2 = Rise^2 + Run^2
Length^2 = 5^2 + 6^2
Length^2 = 25 + 36
Length^2 = 61
Taking the square root of both sides:
Length = √61
The length of the rail is approximately 7.81 feet.
In this case, the length of the rail is the hypotenuse, and the rise of 5 feet and the run of 6 feet are the other two sides of the right triangle.
Using the Pythagorean theorem:
Length^2 = Rise^2 + Run^2
Length^2 = 5^2 + 6^2
Length^2 = 25 + 36
Length^2 = 61
Taking the square root of both sides:
Length = √61
The length of the rail is approximately 7.81 feet.