Question

3. Calculate the width of a 70" TV if the TV has an aspect ratio of 16:9.

44.8"

80.33"

61"

39.4"

Answer 1

(C)61''

Explanation:

Aspect ratio =Width: Height

If the TV has an aspect ratio of 16:9

Since the diagonal of the TV is 70 inches

`(Width)/(Height)= (16)/(9)\\$Therefore:$\\Width= (16)/(9)Height`

Using Pythagoras Theorem

`Diagonal^2=Width^2+Height^2\\70^2=Width^2+Height^2`

`70^2=((16)/(9)Height)^2+Height^2\\4900=(256h^2+81h^2)/(81) \\256h^2+81h^2=4900 * 81\\337h^2=396900\\h^2=1177.74\\h=34.32''`

Therefore:

`Width= (16)/(9) * 34.32\\=61''`