Given l = 30 in., w = 20 in., h = 18 in., and x = 36.1 in., find the length of d. Round the answer to the nearest tenth.
To find the length of d, we can use the Pythagorean theorem.
First, we need to find the diagonal length of the rectangle using the given length, width, and height. This can be done using the formula:
diagonal = √(length^2 + width^2 + height^2)
diagonal = √(30^2 + 20^2 + 18^2)
diagonal = √(900 + 400 + 324)
diagonal = √1624
diagonal ≈ 40.3 in.
Now, we can apply the Pythagorean theorem to find the length of d.
d^2 = diagonal^2 - x^2
d^2 = (40.3)^2 - (36.1)^2
d^2 = 1624 - 1303.21
d^2 ≈ 320.79
d ≈ √(320.79)
d ≈ 17.9 in.
Therefore, the length of d is approximately 17.9 inches.