The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3.

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.

step-by-step explanation:

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