Television sets: What does it mean to refer to a 20-inch TV set or a 25-inch TV set. Such units refer to the diagonal of the screen. A 25-inch TV set also has a width of 20-inches. What is its height? Height of a 25-inch TV. _______inches
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
a^2 + 20^2 = 25^2
a^2 + 400 = 625
a^2 = 225
a = 15
To determine the height of a 25-inch TV set, we can use the concept of aspect ratio. The aspect ratio of a TV screen refers to the proportional relationship between its width and height. The most common aspect ratio for TVs is 16:9.
In this case, the width of the TV is given as 20 inches. To find the height, we can use the formula:
Height = (Width / Aspect Ratio)
Using the aspect ratio of 16:9, the height of the TV can be calculated as:
Height = (20 inches / (16/9) )
Simplifying the expression:
Height = (20 inches / 1.78)
Height ≈ 11.24 inches
Therefore, the height of a 25-inch TV set with a width of 20 inches is approximately 11.24 inches.