Question 987279
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
-----------------
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(1764/337)}}} =~ 2.28789
W = 16q = 36.6
H = 9q = 20.6
=======================
Width of the television screen
See above.
======================
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.