Question

You want to make a scale drawing of New York City's Empire State Building using the scale 1 in. = 250 ft. If the building is 1250 ft. tall, how tall should you make the building in your scale drawing?

Answer 1

You have to divide 1250ft by 250ft. When you do that you get 5in

Answer 2

5 inch.

Explanation:

We have been given that the scale of drawing is 1 in. = 250 ft. We are asked to find the height of the drawing, when the actual length of building is 1250 ft.

We will use proportions to solve our given problem.

`\frac{\text{Scale length}}{\text{Actual length}}=\frac{\text{1 inch}}{\text{250 ft}}`

`\frac{\text{Scale length}}{\text{1250 ft}}=\frac{\text{1 inch}}{\text{250 ft}}`

`\frac{\text{Scale length}}{\text{1250 ft}}*\text{1250 ft}=\frac{\text{1 inch}}{\text{250 ft}}*\text{1250 ft}`

`\text{Scale length}=\text{1 inch}*5`

`\text{Scale length}=\text{5 inch}`

Therefore, the scale drawing will be 5 inch tall.