Answer:
Width of the new tv= 65.44 inches
Height of the new tv = 36.41 inches
If the newer television has an aspect ratio of 16:9, will the new tv fit in the old entertainment center?
Since the old entertainment set has a dimension of 70 inches by 35 inches
,new TV set, has dimension of 65.44 inches by 36.81 inches, the new TV may not be able to fit into the old entertainment set properly because it is 1.81 inches higher than the entertainment set.
Explanation:
The newer TV set has an aspect ratio of 16: 9 and it is 75 inches
We are going to make use of Pythagoras theorem
= Width² + Height ² = Size of TV²
Width = 16x
Height = 9x
75² = (16x)² + (9x)²
5625 = 256x² + 81x²
5625 = 337x²
x² = 5625/337
x² = 16.691394659
x = √16.691394659
x = 4.0855103303
Approximately = 4.09
Hence, we can find the width and height of the new TV
Width = 16x
Width = 16 × 4.09
Width = 65.44 inches
Height = 9x
Height = 9 × 4.09
Height = 36.81 inches
Hence, the dimensions of the new TV set = 65.44 inches by 36.81 inches
If the newer television has an aspect ratio of 16:9, will the new tv fit in the old entertainment center?
Since the old entertainment set has a dimension of 70 inches by 35 inches
,new TV set, has dimension of 65.44 inches by 36.81 inches, the new TV may not be able to fit into the old entertainment set properly because it is 1.81 inches higher than the entertainment set.