A skateboard rail rises 5 feet over a run of 6 feet. What is the length of the rail?
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.
To find the length of the rail, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the rail can be seen as the hypotenuse of a right triangle, with the rise of 5 feet as one side and the run of 6 feet as the other side.
Applying the Pythagorean theorem, we have:
Length of rail² = Rise² + Run²
Length of rail² = 5² + 6²
Length of rail² = 25 + 36
Length of rail² = 61
Taking the square root of both sides, we find:
Length of rail ≈ √61 feet
Therefore, the approximate length of the rail is about 7.81 feet.
To find the length of the rail, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the rail forms the hypotenuse of a right triangle, with the rise of 5 feet as one side, and the run of 6 feet as the other side.
So, we can use the formula:
Length of rail² = Rise² + Run²
Substituting the given values:
Length of rail² = 5² + 6²
Length of rail² = 25 + 36
Length of rail² = 61
To find the length of the rail, we need to calculate the square root of 61:
Length of rail = √61
Length of rail ≈ 7.81 feet (rounded to two decimal places)
Therefore, the length of the rail is approximately 7.81 feet.