Middle School

The size of a rectangular television screen is given as the length of its diagonal. The screen for a widescreen television has a length of 53 inches and a width of 30 inches. To the nearest tenth of an inch, what is the best estimate of the diagonal of that screen?

A. 83.0 inches
B. 60.9 inches
C. 43.7 inches
D. 37.1 inches

Answer :

Answer:

the answer is B

Step-by-step explanation:

sorry if it wrong

To find the diagonal of a television screen with a width of 30 inches and a length of 53 inches, the Pythagorean theorem is used, yielding a diagonal measurement of approximately 60.9 inches.

The question asks to find the diagonal length of a widescreen television given its width and length. To solve this problem, we use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the width and length of the television represent the two shorter sides of a triangle, and the diagonal is the hypotenuse.

The television has a width of 30 inches and a length of 53 inches. According to the Pythagorean theorem: diagonal2 = length2 + width2

Diagonal2 = 532 + 302

Diagonal2 = 2809 + 900

Diagonal2 = 3709

Diagonal = [tex]\\(\\sqrt{3709}\\)[/tex]

Diagonal ≈ 60.9 inches

Therefore, the best estimate of the diagonal of the screen, to the nearest tenth of an inch, is 60.9 inches, which corresponds to option B.