Question

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?

Answer 1

\[\frac{ w }{h }=\frac{ 16 }{ 9 }\],\[\frac{ 50 }{ x }=\frac{ 16 }{ 9 }\]

Answer 2

are you sure? I ask because 50 is the diagonal not the width itself (at least not that I know of )

Answer 3

@satellite73 @MARC_ @Nnesha

Answer 4

\[\tan(\theta)=\frac{9}{16}\]

Answer 5

\[\sin(\theta)=\frac{h}{50}\\
h=50\sin(\theta)\]

Answer 6

you need \[\sin(\theta)\] which you find via pythagoras