To find the scale factor between the drawing and the actual airplane, we need to compare corresponding dimensions. From the image:

• Scale Drawing Dimensions:

  • Height: 10 cm
  • Width: 34 cm

• Actual Airplane Dimensions:

  • Height: 20 m (2000 cm, since 1 meter = 100 cm)
  • Width: Unspecified, but it doesn't matter as the scale factor is consistent for both height and width.

Scale Factor Calculation:

We'll use the heights to find the scale factor, as both are given.

$\text{Scale Factor} = \frac{\text{Actual Height}}{\text{Drawing Height}} = \frac{2000 \, \text{cm}}{10 \, \text{cm}} = 200$

So, the scale factor is 200.

Let me know if you'd like further details or have any questions!

Here are some related questions for practice:

1. What would be the wingspan of the actual airplane if the wingspan in the drawing is 34 cm?
2. How do you convert between different units in scale factor problems?
3. If the actual airplane's height were 25 meters instead of 20 meters, what would the new scale factor be?
4. How would the scale factor change if the drawing was made twice as large?
5. Can you apply this scale factor to calculate other dimensions of the airplane?

Tip: Always convert units to be consistent (like cm to cm) before calculating the scale factor.