Question

1. The Willis Tower (formerly known as the Sears Tower) in Chicago is about 1454 feet tall. A model of it has a scale of 2 in = 45 feet. How tall is the model?

Answer 1

Step-by-step explanation:

solution

we know that,

tower hight = 1454 feet

here

2inch=45 feet

now,

1454 feet=(1454/45)inch

1454 feet =32.31 inch

so,tower is 32.31 inch tall according to model length

this may help you (:

Answer 2

Answer:

$x\approx64.622\text{ inches}$

Step-by-step explanation:

We can write a proportion that relate the model lengths to the actual length. The traditional format is:

$\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}$

Hence, we will substitute 1454 for the “Original Length.”

2in for the “Scale Factor” below the model.

And 45ft for the “Scale Factor” below the original.

Let the model length be x.

This yields:

$\frac{x}{2}=\frac{1454}{45}$

Solve for x. Cross-multiply:

$2908=45x$

Divide both sides by 45:

$x\approx64.622\text{ inches}$

Therefore, the height of the model is about 64.6 inches.