If computer screens intellers and screens are usually measured by the diagonal of the strange plus screen of 16 inches would have a diagonal 6 in with a 52 and a height of 30 Wilson would like to install a new screen on a shelf that is 17 inches tall and 15-in wide she would like to spend to be the largest size that will fit on the shelf she knows the diagonal and the width of the screen of the four screens listed below hey 15 in by 13 in b22x19 see 32x28 d 40 by 35 to calculate the height of each screen and complete the table
To calculate the height of each screen, you can use the given information about the diagonal and width of the screens. Here's how you can calculate the height for each screen:
For screen A (15 in by 13 in):
Using the Pythagorean theorem, we can determine the height:
(height)^2 = (diagonal)^2 - (width)^2
(height)^2 = 6^2 - 13^2
(height)^2 = 36 - 169
(height)^2 = -133 (since the result is negative, this screen size is not possible)
For screen B (22 in by 19 in):
(height)^2 = (diagonal)^2 - (width)^2
(height)^2 = 6^2 - 19^2
(height)^2 = 36 - 361
(height)^2 = -325 (not possible)
For screen C (32 in by 28 in):
(height)^2 = (diagonal)^2 - (width)^2
(height)^2 = 6^2 - 28^2
(height)^2 = 36 - 784
(height)^2 = -748 (not possible)
For screen D (40 in by 35 in):
(height)^2 = (diagonal)^2 - (width)^2
(height)^2 = 6^2 - 35^2
(height)^2 = 36 - 1225
(height)^2 = -1189 (not possible)
None of the listed screens will fit in the given space (17 in tall and 15 in wide).