Question

A tower is 40 ft tall and 20 ft wide. A model of the tower is 5 in. tall. Identify the width of the model in inches. help please

Answer 1

2.5 inches

Explanation:

To solve for the width, we can write a proportion comparing the original and reduced dimensions. Let w be the width of the model. So:

`(40)/(20)=(5)/(w)`

The left proportion represents the original length to width ratio. The right proportion represent the length to width ratio of the model. We can solve for w by cross multiplying.

First, let's reduce the fraction on the left:

`(2)/(1)=(5)/(w)`

Cross multiply:

`5=2w`

Divide both sides by 2:

`w=5/2=2.5`

So, the width of the model is 2.5 inches.

And we're done!