The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its width to its height. If this monitor has a diagonal that is 27 inches long, and has an aspect ratio of 16:9, with an approximate width of 23.5 inches, the height is Blank 1 Question 3 inches. Round your answer to the nearest whole number.
Question
The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its width to its height. If this monitor has a diagonal that is 27 inches long, and has an aspect ratio of 16:9, with an approximate width of 23.5 inches, the height is Blank 1 Question 3 inches. Round your answer to the nearest whole number.
Solution
To find the height of the monitor, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides (the width and the height).
First, we square the length of the diagonal and the width:
27^2 = 729 23.5^2 = 552.25
Then, we subtract the square of the width from the square of the diagonal to find the square of the height:
729 - 552.25 = 176.75
Finally, we take the square root of this number to find the height:
sqrt(176.75) = 13.3 inches
Rounding to the nearest whole number, the height of the monitor is approximately 13 inches.
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