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5. A smartphone screen has 960 pixels in one direction and 640 in the other. When watching videos on the phone, there are more pixels horizontally than vertically. For the screen to be geometrically similar to a 1080p HD flat screen TV which has 1920 pixels horizontally, how many pixels should the HDTV have vertically?

Respuesta :

You have the following information:

-A smartphone screen has 960 pixles in one direction and 640 pixels in the other.

- A 1080p HD flat screen TV has 1920 pixels horizontally.

In order to determine how many pixels should the HDTV have vertically, you calculate the proportion of horizontal pixels to vertical pixels in the smartphone:

[tex]\frac{960}{640}=1.5[/tex]

If you want to watch a video in the HDTV as in your smartphone, it is necessary that the previous proportion is equal for HDTV. Thus, if x is the unknown number of pixels vertically, you have:

[tex]\frac{1920}{x}=1.5[/tex]

You solve the previous equation for x. Multiply both sides by x, and then divide both sides by 1.5, juts a follow:

[tex]\begin{gathered} \frac{1920}{x}=1.5 \\ 1920=1.5x \\ \frac{1920}{1.5}=x \\ x=1280 \end{gathered}[/tex]

Hence, the number of pixels vertically of the HDTV are 1280 pixels

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