Bookworm14
  • Bookworm14
Could someone please walk me through how to do this? It is Trigonometry, Sin/Cos/Tan .... Thanks! The size of a TV screen is given by the length of its diagonal. The screen aspect ratio is the ratio of its width to its height. The screen aspect ratio of a plasma television screen is 16 : 9. To the nearest tenth of an inch, what is the height of a 50 inch plasma television screen with this ratio?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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caozeyuan
  • caozeyuan
\[\frac{ w }{h }=\frac{ 16 }{ 9 }\],\[\frac{ 50 }{ x }=\frac{ 16 }{ 9 }\]
Bookworm14
  • Bookworm14
are you sure? I ask because 50 is the diagonal not the width itself (at least not that I know of )
Bookworm14
  • Bookworm14
@satellite73 @MARC_ @Nnesha

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More answers

anonymous
  • anonymous
|dw:1449669893409:dw|
anonymous
  • anonymous
\[\tan(\theta)=\frac{9}{16}\]
anonymous
  • anonymous
|dw:1449670024523:dw|
anonymous
  • anonymous
\[\sin(\theta)=\frac{h}{50}\\ h=50\sin(\theta)\]
anonymous
  • anonymous
you need \[\sin(\theta)\] which you find via pythagoras |dw:1449670214088:dw|
Bookworm14
  • Bookworm14
18.4
Bookworm14
  • Bookworm14
?
anonymous
  • anonymous
or probably you can just use ratios \[c=\sqrt{9^2+16^2}=\sqrt{337}\] \[\frac{h}{50}=\frac{9}{\sqrt{337}}\]solve for \(h\)
anonymous
  • anonymous
\[h=\frac{450}{\sqrt{337}}\]
Bookworm14
  • Bookworm14
so the final answer is 24.5 ?
anonymous
  • anonymous
i get 24.5 hope it is right
Bookworm14
  • Bookworm14
wait, your not sure?! :O

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