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

Answer:

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

Step-by-step 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;

$\frac{l}{w} =\frac{16}{9}$

Substituting the value of width 'w' we get;

$\frac{l}{25.2} =\frac{16}{9}\\\\l= 25.2 \times \frac{16}{9} = 44.8$

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 = $\sqrt{(44.8)^2+(25.2)^2} = 51.40$

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