Question

The size of a tv screen is given by the length of its diagonal. the screen aspect ratio is the ratio of its width to its height. the screen aspect ratio of a plasma television screen is 16 : 9. to the nearest tenth of an inch, what is the height of a 50 inch plasma television screen with this ratio?

Answer 1

Answer: The height of TV screen is 28.125 inches.

Step-by-step explanation:

Since we have given that

Ratio of width to height of TV = 16:9

Width of TV screen = 50 inch

We need to find the height of TV.

Since there is direct variation:

So, we get that

$\dfrac{16}{9}=\dfrac{50}{h}\\\\16h=50\times 9\\\\16h=450\\\\h=\dfrac{450}{16}\\\\h=28.125\ inch$

Hence, the height of TV screen is 28.125 inches.

Answer 2

We know that
the screen aspect ratio=width/height-------> height=width/screen aspect ratio

in this problem
the screen aspect ratio=16/9
height=?
width=50 in

height=width/screen aspect ratio-----> 50/(16/9)---> 50*(9/16)---> 28.125 in

the answer is
28.1 in