Final answer:
The height of the model is 414 inches.
Step-by-step explanation:
To find the height of the model, we can set up a proportion using the scale. The scale is 1/3 inch = 2 feet. We can set up the proportion as:
1/3 inch / 2 feet = x inch / 207 feet
Cross multiplying gives us:
2 * x inch = 1/3 * 207 feet
Simplifying, we get:
x inch = 1/3 * 207 feet / 2
Converting the feet to inches, we have:
x inch = 1/3 * 207 * 12 inch / 2
Simplifying further, we get:
x inch = 12 * 207 / 6 inch = 414 inch
Therefore, the height of the model is 414 inches.