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?

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.

[tex]\frac{\text{Scale length}}{\text{Actual length}}=\frac{\text{1 inch}}{\text{250 ft}}[/tex]

[tex]\frac{\text{Scale length}}{\text{1250 ft}}=\frac{\text{1 inch}}{\text{250 ft}}[/tex]

[tex]\frac{\text{Scale length}}{\text{1250 ft}}*\text{1250 ft}=\frac{\text{1 inch}}{\text{250 ft}}*\text{1250 ft}[/tex]

[tex]\text{Scale length}=\text{1 inch}*5[/tex]

[tex]\text{Scale length}=\text{5 inch}[/tex]

Therefore, the scale drawing will be 5 inch tall.