A "wide-screen" TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV screen that has a height of 25.2

Expert Answers

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Given the wide screen TV has the ration 16/9.

Then the ration for the length to the width = 16/9.

Let L be the length and W be the width.

==> L / w = 16/ 9.

But given the width = 25.2.

Then we will substitute. 

==>  L / 25.2  = 16/9.

Now we will cross multiply.

==.> L = 25.2*16/9

            = 44.8

==> L = 44.8.

Now that we determine the width and the length of the TV, we will calculate the diagonal.

 Then, D = sqrt( L^2 + w^2)

             = sqrt( 44.8)^2 + ( 25.2)^2

             = 51.40

Then the diagonal is 51.40

 

 

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