Question

a student made a model of the washington monument using a scale in which 1 inch represents partially visible. the height of the washington monument is approximately 555 feet. which measurement is closest to the height of the model in inches? a 37 in. b 75 in. c 46 in. d 180 in.

Explanation:

Step1: Identify the scale

The scale is 1 inch represents 15 feet (assuming the underlined part is 15 feet from the context, as the text is a bit unclear but typical scale problem). So the scale factor is 1 inch per 15 feet.

Step2: Set up the proportion

Let \( x \) be the height of the model in inches. We know that the actual height is 555 feet. So we set up the proportion:

$$ \frac{1 \text{ inch}}{15 \text{ feet}} = \frac{x \text{ inches}}{555 \text{ feet}} $$

Step3: Solve for \( x \)

Cross - multiply to get \( 15x=555\times1 \). Then, solve for \( x \) by dividing both sides by 15:

$$ x = \frac{555}{15}=37 $$

Answer:

A. 37 in.