Final answer:
The height of a widescreen television screen with a width of 44 inches and an aspect ratio of 16:9 is 24.75 inches. This is determined by setting up a proportion based on the given aspect ratio and solving for the unknown height.
Step-by-step explanation:
To find the height of a widescreen television screen with a width of 44 inches based on an aspect ratio of 16:9, we can set up a proportion where the ratio of the width to the height for the given dimension must be equal to the ratio of the aspect ratio.
Let's call the unknown height 'h'. The aspect ratio is 16:9, which we can represent as a fraction, 16/9. We can set up the following proportion: 16/9 = 44/h.
To solve for 'h', we multiply both sides of the equation by 'h' and then divide both sides by 16. This gives us:
9 * 44 = 16 * h
396 = 16h
h = 396 / 16
h = 24.75
Thus, the height of the widescreen television screen, when the width is 44 inches, is 24.75 inches.