The height of a television screen varies with its width. A television screen is 60cm wide and 33.75cm high. What is the height of a screen that is 90cm wide?

Respuesta :

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