A suitcase measures 22 inches long and 16 inches high. What is the diagonal length of the suitcase to the nearest foot.
16^2 + 22^2 = C^2
256 + 484 = C^2
740 = C^2
SQRT of 740 = 27.20 in.
The diagonal length to the nearest foot equals 2.26ft.
Nearest foot is 2.
To calculate the diagonal length of a suitcase, you can use the Pythagorean theorem, which states that in a right-angled triangle, the square 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 suitcase is 22 inches and the height is 16 inches. To find the diagonal length, you would use the formula:
diagonal length^2 = length^2 + height^2
Plugging in the values:
diagonal length^2 = 22^2 + 16^2
diagonal length^2 = 484 + 256
diagonal length^2 = 740
To find the diagonal length, you need to take the square root of 740:
√740 ≈ 27.20 inches
To convert inches to feet, divide by 12 (since there are 12 inches in a foot):
27.20 inches ÷ 12 = 2.26 feet
Therefore, the diagonal length of the suitcase to the nearest foot is approximately 2.26 feet.
To find the diagonal length of the suitcase, we can use the Pythagorean theorem. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse (C) is equal to the sum of the squares of the other two sides.
In this case, we consider the length (22 inches) as one side and the height (16 inches) as the other side of a right triangle, with the diagonal length as the hypotenuse. So, we have:
Length^2 + Height^2 = Hypotenuse^2
Plugging in the values, we get:
22^2 + 16^2 = Hypotenuse^2
484 + 256 = Hypotenuse^2
740 = Hypotenuse^2
To find the hypotenuse, we take the square root of both sides:
√740 = Hypotenuse
Hypotenuse ≈ 27.20 inches
However, the question asks for the diagonal length to the nearest foot. To convert inches to feet, we divide the length by 12:
27.20 ÷ 12 = 2.2667 feet
Rounding to the nearest foot, the diagonal length of the suitcase is approximately 2.26 feet.