Question

use the image to answer the question.
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.
(1 point)
$square$ in.

Explanation:

Step1: Use Pythagorean theorem for $d$

$d = \sqrt{x^2 + h^2}$

Step2: Substitute given values

$d = \sqrt{(36.1)^2 + (18)^2}$

Step3: Calculate squared terms

$36.1^2 = 1303.21$, $18^2 = 324$

Step4: Sum the squared values

$1303.21 + 324 = 1627.21$

Step5: Compute square root

$d = \sqrt{1627.21} \approx 40.3$

Answer:

40.3 in.