Answer:
The height of the screen that 90 cm wide is 50.625 cm
Step-by-step explanation:
Given as :
The height of television varies with its width
The Width of the television screen = [tex]w_1[/tex] = 60 cm
The height of the television screen = [tex]h_1[/tex] = 33.75 cm
Again ,
The height of the television screen = [tex]h_2[/tex]
Let The Width of the television screen = [tex]w_2[/tex] = 90 cm
∵ The height of television varies with its width
So, [tex]\dfrac{h_2}{h_1}[/tex] = [tex]\dfrac{w_2}{w_1}[/tex]
Or, [tex]\dfrac{h_2}{33.75}[/tex] = [tex]\dfrac{90}{60}[/tex]
Or, [tex]h_2[/tex] = 1.5 × 33.75
∴ [tex]h_2[/tex] = 50.625 cm
Hence The height of the screen that 90 cm wide is 50.625 cm Answer