Question

Question was provided via image upload.

Explanation:

Identify the missing scale factor

The question refers to a "scale established earlier" which is not visible in the cropped image. In standard high school solar system scaling activities (such as the "Pocket Solar System" or a scale model where Earth is represented by a small object like a marble or a peppercorn), a common scale is:

$$ 1\text{ cm} = 10,000\text{ km} $$

Using this standard scale, we can calculate the scaled diameter of the Sun.

Calculate the scaled diameter of the Sun

Using the Scale Factor Calculations knowledge point:

$$ \text{Scaled Diameter} = \frac{1,400,000\text{ km}}{10,000\text{ km/cm}} = 140\text{ cm} = 1.4\text{ m} $$

Determine a real-world comparison

Using the Proportional Scaling knowledge point:
A sphere with a diameter/height of \(140\text{ cm}\) (\(1.4\text{ m}\) or about \(4.6\text{ feet}\)) is roughly the height of a typical 10-year-old child, or comparable to the width of a large office desk or a standard dining table.

Answer:

Based on a standard solar system model scale where \(1\text{ cm} = 10,000\text{ km}\):

1. Scaled Height/Diameter: The sphere representing the Sun would be \(140\text{ cm}\) (or \(1.4\text{ meters}\)) tall.
2. Real-World Example: This is approximately the height of a typical school desk, a large exercise ball, or a young child.