Problema Solution
High definition television (HDTV) gives consumers a wider viewing area, more like a film screen in a theater. A regular television with a 27-inch diagonal measurement has a screen 16.2 in. tall. An HDTV screen with the same 16.2-inch height would have a diagonal measuring 33 in. How many inches wider is the HDTV screen? Round to the nearest hundredth.
Answer provided by our tutors
the width of the regular television (w1) with a 27-inch diagonal measurement that is 16.2 in tall is:
w1^2 = 27^2 - 16.2^2
w1 = 21.6 in
click here to see the step by step solution of the equation:
the width of the HDTV screen (w2) with the same 16.2-inch height and a diagonal measuring 33 in is:
w2^2 = 33^2 - 16.2^2
w2 = 28.75 in
click here to see the step by step solution of the equation:
w2 - w1 = 28.75 - 21.6 = 7.15 in
the HDTV screen is 7.15 inches wider than the regular TV.