SOLUTION: In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually rectangular in shape and have a standard aspect ratio of 16:9. Please respond to the f

Question 1144496: In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually rectangular in shape and have a standard aspect ratio of 16:9. Please respond to the following questions. (See rubric below.)
What do we mean by aspect ratio?
In a paragraph or two, at least 100 words, what is an HDTV? Explain the meaning of HDTV. How is an HDTV different from previous ordinary televisions?
Derive a formula for the area of the screen of an HDTV as a function of only the height of the screen.
Derive a formula for the diagonal of the screen as a function of the height of the screen.
Derive a formula for the diagonal of the screen as a function of the area of the screen.
Illustrate with a graph the relationship between the diagonal and the area of the screen. Please make sure your graph is appropriately labeled.
What is the diagonal if the area is 2,823 cm^2?

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
aspect ratio = ratio of width to height

width = 9x
length = 16x

area = (9x)(16x) = 144x^2

diagonal = sqrt(9x^2 + 16x^2) = xsqrt(337)
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