The question describes a student making a model of the Washington Monument using a scale in which 1 inch represents 15 feet. The actual height of the Washington Monument is approximately 555 feet. The task is to determine which measurement is closest to the height of the model in inches. The multiple-choice answers provided are:

Question

A) 37 in. B) 75 in. C) 46 in. D) 180 in.

Answer 1

To determine the height of the model of the Washington Monument in inches using the given scale of 1 inch representing 15 feet, we can follow these steps:

1. Find the height of the Washington Monument in feet: The actual height is approximately 555 feet.

2. Convert the height into inches using the scale: Since the scale is 1 inch for every 15 feet, we can use the formula: \[ \text{Height of model (inches)} = \frac{\text{Actual height (feet)}}{\text{Scale (feet per inch)}} \] Substituting the values, we have: \[ \text{Height of model (inches)} = \frac{555 \text{ feet}}{15 \text{ feet per inch}} \]

3. Calculate the value: \[ \text{Height of model (inches)} = \frac{555}{15} = 37 \]

So, the height of the model of the Washington Monument is 37 inches.

Looking at the multiple-choice answers provided:

A) 37 in.
B) 75 in.
C) 46 in.
D) 180 in.

The closest measurement to the height of the model in inches is A) 37 in.