The Eiffel Tower is about 301 meters tall. Cooper is making a scale model of it using the scale factor 1:750.

To the nearest tenth of a meter, what will be the height of the scale model?

Enter your answer as a decimal in the box.

m

1 answer

To find the height of the scale model of the Eiffel Tower, we can use the scale factor of 1:750. This means that every 750 meters on the real Eiffel Tower corresponds to 1 meter on the model.

The formula to determine the height of the scale model is:

\[ \text{Height of model} = \frac{\text{Height of Eiffel Tower}}{\text{Scale factor}} \]

Given that the height of the Eiffel Tower is 301 meters, we can plug in the values:

\[ \text{Height of model} = \frac{301 \text{ meters}}{750} \]

Calculating this:

\[ \text{Height of model} \approx 0.4013333 \text{ meters} \]

Rounding to the nearest tenth of a meter:

\[ \text{Height of model} \approx 0.4 \text{ meters} \]

Therefore, the height of the scale model is:

\[ \boxed{0.4} \text{ m} \]