A student made a model of The Eiffel Tower using a scale in which 1 inch represents 12 feet. The actual Eiffel Tower is 984 feet tall. What is the height of the student’s model in inches

Answer 1

To find the height of the student's model of the Eiffel Tower, we need to convert the actual height of the Eiffel Tower, which is 984 feet, into inches using the given scale of 1 inch representing 12 feet.

First, we calculate the height in inches:

$$\text{Model height (in inches)}=\frac{\text{Actual height (in feet)}}{\text{Scale (feet per inch)}}$$

Substituting the values:

$$\text{Model height (in inches)}=\frac{984,\text{feet}}{12,\text{feet per inch}}$$

Now, performing the division:

$$\text{Model height (in inches)}=82,\text{inches}$$

Thus, the height of the student’s model of the Eiffel Tower is 82 inches.