Question

A student made 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. Which measurement is the closest?

1) 37 inches
2) 75 inches
3) 46 inches
4) 180 inches

Answer 1

To find the model's height, divide the actual height of the Washington Monument by the scale factor. The closest measurement for the monument's model, using a scale where 1 inch equals 15 feet, is 37 inches.

Step-by-step explanation:

To find the closest measurement for the model of the Washington Monument, apply the given scale factor. Since 1 inch represents 15 feet, we divide the actual height of the monument by the scale factor:

Actual height of Washington Monument = 555 feet
Scale factor = 1 inch / 15 feet

Height of model = Actual height / Scale factor
= 555 feet / (1 inch / 15 feet)
= 555 / 15
= 37 inches

Therefore, the closest measurement is 37 inches, which corresponds to choice 1.