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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.