Question

A wide-screen tv has an aspect ratio of 16:9. Find the length of a diagonal on the wide-screen tv screen that has the same height as the screen in exercise 4.

Answer 1

The length of the diagonal of the TV screen is 51.40.

Explanation:

Given:

Aspect ration of Screen = 16:9

Also The Width (w) from exercise 4 is = 25.2

We need to find the length of the diagonal of the TV screen.

Solution first we will find the Length (l) of the TV screen

Now we know that;

`(l)/(w) =(16)/(9)`

Substituting the value of width 'w' we get;

`(l)/(25.2) =(16)/(9)\\\\l= 25.2 * (16)/(9) = 44.8`

Hence Length (l) =44.8

Now we know that;

Diagonal of TV screen is equal to Square root of sum of square of Length (l) and width (w).

framing in equation form we get;

Diagonal of TV screen =
`√((44.8)^2+(25.2)^2) = 51.40`

Hence The length of the diagonal of the TV screen is 51.40.