A scale drawing of a building needs to be made using the scale 1 inequals270 ft. How tall will the building in the scale drawing be if the building is 810 ft​ tall?

Question

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Part 1
The height of the building in the scale drawing will be
  
enter your response here in. ​(Simplify your​ answer.)

Answer 1

To find the height of the building in the scale drawing, we can use the given scale of 1 inch equals 270 feet.

We have the actual height of the building, which is 810 feet. To find the height in the scale drawing, we can set up the following calculation:

\[ \text{Height in inches} = \frac{\text{Actual height (ft)}}{\text{Scale (ft/in)}} \]

Substituting in our values:

\[ \text{Height in inches} = \frac{810 , \text{ft}}{270 , \text{ft/in}} \]

Calculating that gives:

\[ \text{Height in inches} = \frac{810}{270} = 3 , \text{in} \]

Thus, the height of the building in the scale drawing will be 3 inches.