Television sets are sized according to the length of the diagonal of the screen. The Tuber family just purchased a 61" high-definition television. They measured the length of the screen to be sure it would fit into their space, but they forgot to measure the height. If the television is 53" wide, which is the closest, in inches, to the height of the screen?

30.2 inches

Explanation:

Since televisions are usually sized according to the length of the diagonal of the screen, the size forms the hypotenuse while the width of the tv forms the adjacent of a right angle triangle according to the attached image.

In order to find the closest height of the television, the Pythagoras theorem is applied;

Hence,

height = √

                = √912

                    = 30.2"

Therefore, the closest height of the screen is 30.2 inches.