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3 years ago

3. Repeat this process to find the width and height of a newer 48-inch television whose

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer:

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

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