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The aspect ratio of a widescreen TV is the ratio of the screen's width to its height, or 16 : 9. What are the width and the height of a 32-inch widescreen TV? (Hint: Use the Pythagorean Theorem and the fact that TV sizes refer to the diagonal length of the screen.) Round your answer to the nearest tenth.

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Answer: 28.9 inches ; 15.7 inches

Step-by-step explanation:

Given that:

Width to height = 16 : 9

Hence,

Width = 16x ; height = 9x

Using Pythagoras, solve for the length of the diagonal = 32

32² = 16x² + 9x²

1024 = 256x² + 81x²

1024 = 337x²

x² = 1024 / 337

x² = 3.0385756

x = 1.7431510

Width = 16( 1.7431510) = 27.89 = 28.9

height = 9(1.7431510) = 15.688 = 15.7