Answer:
The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.
Step-by-step explanation:
35-inch television is a television whose screen has an hypotenuse (
) of 35 inches and the aspect ratio of 4 : 3 means that 4 inches width per each 3 inches height. And by Pythagorean Theorem:

Where:
- Hypotenuse rate, dimensionless.
- Width rate, dimensionless.
- Height rate, dimensionless.
If
and
, the hypotenuse rate is:

The width and height of the old television can be found with the help of trigonometric functions:
Width of 35-inch old television (
)


Height of 35-inch old television (
)


Where
is the direction of the hypotenuse with respect to width, measured in sexagesimal degrees.
If
,
and
and
, the width and height of the old 35-inch television:




The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.