The Willis tower in Chicago is about 1454 feet tall model of it has a scale of two inches equals 45 feet how tall is the model

Respuesta :

Answer:

The model is 64.62 inches or 5.39 feet  tall .

Step-by-step explanation:

Given:

Height of the Willis Tower in Chicago = 1,454 feet

Scale of the model = 2 inches : 45 feet height

To Find:

the height of the  model = ?

Solution:

Let the height of the model be x

Then

[tex]\text{Height of the model} = \frac{ \text{Height of the Willis Tower in Chicago}}{\text{Scale in feet} }\times \text {Scale in inches}}[/tex]

On substituting the given  values

Height of the model = [tex]\frac{1,454}{45} \times 2[/tex]

Height of the model =[tex]32.31 \times 2[/tex]

Height of the model = 64.62 inches

Converting into feet,

1 inch =  0.0833333 feet

so

[tex]64.62 = 0.083 \times 64.62 = 5.39[/tex] feet

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