SOLUTION: The measure of a television screen is given by the length of a diagonal across the screen. A 33-inch big-screen television has a width of 26.4 in. Find the height of the screen to

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Question 84068This question is from textbook introductory algebra
: The measure of a television screen is given by the length of a diagonal across the screen. A 33-inch big-screen television has a width of 26.4 in. Find the height of the screen to the nearest tenth of an inch.This question is from textbook introductory algebra

Answer by Edwin McCravy(6938) About Me  (Show Source):
You can put this solution on YOUR website!
0,
The measure of a big-screen television is given by the length of a diagonal
across the screen. A 33-inch television has a width of 26.4in. Find the height
of the screen to the nearest tenth of an inch.

drawing%28400%2C266.67%2C0%2C30%2C0%2C20%2C+triangle%280%2C0%2C0%2C19.8%2C26.4%2C19.8%29%2C%0D%0A+++triangle%280%2C0%2C26.4%2C0%2C26.4%2C19.8%29%2C+locate%289%2C2%2C%27a=width=24.4+in%27%29%2C%0D%0A+++locate%289%2C10%2C%27c=diagonal=33+in%27%29%2Clocate%2825%2C12%2C%27b=height=%3F%27%29+%0D%0A%0D%0A+%29

Just use the Pythagorean theorm:

           c² = a² + b²
          33² = 24.4² + b²
         1089 = 696.96 + b²
1089 - 696.96 = b²
       392.04 = b²
sqrt%28392.04%29 = b
  b = 19.8 inches

Edwin