To determine how tall Sarah's model of Expedition Everest will be, we need to follow these steps:
1. Understand the scale: The scale given is 1 inch to 12 feet. This means every inch on the model represents 12 feet of the actual ride.
2. Identify the actual height: The actual height of Expedition Everest is 199 feet.
3. Set up the proportion:
[tex]\[
\frac{1 \text{ inch}}{12 \text{ feet}} = \frac{\text{Height of the model}}{\text{Height of the actual ride (199 feet)}}
\][/tex]
4. Calculate the height of the model:
- Since 1 inch corresponds to 12 feet, we divide the actual height by the scale factor.
- The calculation involves dividing the height of the actual ride by the number of feet each inch represents:
[tex]\[
\text{Height of the model} = \frac{\text{Height of the actual ride}}{12}
\][/tex]
- Substituting the actual height of the ride (199 feet) into the equation:
[tex]\[
\text{Height of the model} = \frac{199 \text{ feet}}{12}
\][/tex]
5. Perform the division:
[tex]\[
\frac{199}{12} \approx 16.583333333333332
\][/tex]
Therefore, Sarah's model of Expedition Everest will be approximately 16.58 inches tall.
