SOLUTION: PLEASE HELP ME :( You have purchased a 42-inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measure

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: PLEASE HELP ME :( You have purchased a 42-inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measure      Log On


   



Question 987279: PLEASE HELP ME :(
You have purchased a 42-inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measurements.
Height of the television screen

Width of the television screen

Height of the black bars at the top and bottom of the screen.

Percent of the area of the television screen that is covered by the image.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You have purchased a 42-inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measurements.
Height of the television screen
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For 16:9 TV:
d^2 = 9^2 + 16^2 = 337
For 42" diagonal:
d^2 = (q*9)^2 + (q*16)^2 = 42^2 = 1764
337q^2 = 1764
q+=+sqrt%281764%2F337%29 =~ 2.28789
W = 16q = 36.6
H = 9q = 20.6
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Width of the television screen
See above.
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Height of the black bars at the top and bottom of the screen.
****************More tomorrow.
Percent of the area of the television screen that is covered by the image.