SOLUTION: when tom arrives at the tv store, he learns that screen sizes are measured diagonally in inches and that the length and widths of the screens are always a ratio of 16:9 if the b

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Question 1020876: when tom arrives at the tv store, he learns that screen sizes are measured diagonally in inches and that the length and widths of the screens are always a ratio of 16:9
if the biggest plasma screen tv ever produced was 150". how long and wide was it?

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
When tom arrives at the tv store, he learns that screen sizes are measured diagonally in inches and that the length and widths of the screens are always a ratio of 16:9.
If the biggest plasma screen tv ever produced was 150", how long and wide was it?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 = ,            (1)

 = .   (2)


From (1) x = . Substitute it into (2). You will get

 = ,   or

 = .

Square both sides. You will get

 =  = 5408.012,

Hence, y = sqrt(5408.012}}} = 73.54.

Thus the height of this TV screen is 73.54 in.
Then its wide is x =  = 130.74 in.

Answer. The screen is 130.74 in x 73.54 in.


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