Questions: A flat screen television is advertised as being 35 inches on its diagonal. If the TV is 18 inch tall, then how wide is the screen? The screen is inches wide. Round your answer to the nearest tenth as needed

A flat screen television is advertised as being 35 inches on its diagonal. If the TV is 18 inch tall, then how wide is the screen? The screen is inches wide. Round your answer to the nearest tenth as needed
Transcript text: A flat screen television is advertised as being 35 inches on its diagonal. If the TV is 18 inch tall, then how wide is the screen? The screen is $\square$ inches wide. Round your answer to the nearest tenth as needed
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A flat screen television is advertised as being 35 inches on its diagonal. If the TV is 18 inch tall, then how wide is the screen? Define variables Let \(w\) be the width of the screen, \(h\) be the height of the screen, and \(d\) be the length of the diagonal. Apply Pythagorean Theorem We are given \(d = 35\) inches and \(h = 18\) inches. We need to find \(w\). Using the Pythagorean theorem, we have \(w^2 + h^2 = d^2\). Substituting the given values, we have \(w^2 + 18^2 = 35^2\). \(w^2 + 324 = 1225\) \(w^2 = 1225 - 324\) \(w^2 = 901\) \(w = \sqrt{901}\) \(w \approx 30.01666\) Round to nearest tenth Rounding to the nearest tenth gives \(w \approx 30.0\) inches.

The screen is approximately \(\boxed{30.0}\) inches wide.

The screen is approximately 30.0 inches wide.

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