Question

What is the scale factor from the drawing to the actual airplane?

Scale drawing: length: 12 in. Height: 3 in.
Actual airplane: length:___ ft height: 9ft

The scale factor is ?

Answer 1

To determine the scale factor from the drawing to the actual airplane, we need to compare the dimensions of the drawing with the actual dimensions of the airplane.

Given:
- Scale drawing length: 12 inches
- Scale drawing height: 3 inches
- Actual airplane height: 9 feet

First, we need to convert the actual dimensions into the same unit as the drawing. Since the drawing is in inches, we can convert the airplane's height from feet to inches:

\[
\text{Actual airplane height in inches} = 9 \text{ ft} \times 12 \text{ in/ft} = 108 \text{ in}
\]

Now, we can find the scale factor for both length and height.

**For Length:**
- Scale drawing length: 12 inches
- Actual airplane length: we do not have this information, so we can't calculate the scale factor for length yet.

**For Height:**
- Scale drawing height: 3 inches
- Actual airplane height: 108 inches

Now, we can compute the scale factor based on height:

\[
\text{Scale factor} = \frac{\text{Actual height}}{\text{Drawing height}} = \frac{108 \text{ in}}{3 \text{ in}} = 36
\]

Thus, the scale factor from the drawing to the actual airplane based on height is **36**.

If a specific actual length was provided, we would compute the scale factor for length in a similar manner. But based on the information given, we have determined the scale factor for height.