What is the approximate diagonal size for a screen that is 294.2 inches wide with an aspect ratio of 1.78:1?

What is the approximate diagonal size for a screen that is 294.2 inches wide with an aspect ratio of 1.78:1?

• A. 320 inches
• B. 337.5 inches
• C. 345 inches
• D. 330 inches

Answer: (B)

To determine the approximate diagonal size of a screen that is 294.2 inches wide with an aspect ratio of 1.78:1, you start by understanding the relationship between the screen's width, height, and diagonal. The aspect ratio of 1.78:1 means for every 1.78 units of width, there is 1 unit of height. To find the height of the screen, you can use the aspect ratio to calculate it. First, the height can be found using the following formula: Height = Width / Aspect Ratio In this case: Height = 294.2 inches / 1.78 ≈ 165.6 inches. Now that you have both the width and height, you can apply the Pythagorean theorem to find the diagonal size of the screen: Diagonal = √(Width² + Height²) Substituting the values: Diagonal = √(294.2² + 165.6²) Diagonal = √(86777.64 + 27443.36) Diagonal = √(114221) ≈ 338.2 inches. When rounded to the nearest whole number, this gives approximately 337.5 inches. Thus, the correct

To determine the approximate diagonal size of a screen that is 294.2 inches wide with an aspect ratio of 1.78:1, you start by understanding the relationship between the screen's width, height, and diagonal.

The aspect ratio of 1.78:1 means for every 1.78 units of width, there is 1 unit of height. To find the height of the screen, you can use the aspect ratio to calculate it.

First, the height can be found using the following formula:

Height = Width / Aspect Ratio

In this case:

Height = 294.2 inches / 1.78 ≈ 165.6 inches.

Now that you have both the width and height, you can apply the Pythagorean theorem to find the diagonal size of the screen:

Diagonal = √(Width² + Height²)

Substituting the values:

Diagonal = √(294.2² + 165.6²)

Diagonal = √(86777.64 + 27443.36)

Diagonal = √(114221) ≈ 338.2 inches.

When rounded to the nearest whole number, this gives approximately 337.5 inches. Thus, the correct