Question

A model of a tower uses a scale of 1/3 inch = 2 feet. If the actual tower is 207 feet tall, find the height of the model. ​

Answer 1

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.