To find the height of the screen in Amber's scale drawing, we need to maintain the same proportion between the width and the height of the actual movie screen.

Step-by-Step Solution

1. Determine the actual dimensions:

   • Actual width of the screen: $60$ ft
   • Actual height of the screen: $20$ ft

2. Determine the width in the scale drawing:

   • Width in scale drawing: $9$ inches

3. Find the scale factor: The scale factor is the ratio of the drawing's width to the actual width:

   $\text{Scale factor} = \frac{\text{Width in drawing}}{\text{Actual width}} = \frac{9 \text{ in}}{60 \text{ ft}}$

   Since the units are different (inches vs. feet), we should convert feet to inches first. There are 12 inches in a foot, so:

   $60 \text{ ft} = 60 \times 12 = 720 \text{ in}$

   Now the scale factor is:

   $\text{Scale factor} = \frac{9 \text{ in}}{720 \text{ in}} = \frac{1}{80}$

4. Calculate the height in the scale drawing: Use the same scale factor to find the height in the drawing:

   $\text{Height in drawing} = \text{Scale factor} \times \text{Actual height}$

   Convert the actual height to inches:

   $20 \text{ ft} = 20 \times 12 = 240 \text{ in}$

   Now calculate:

   $\text{Height in drawing} = \frac{1}{80} \times 240 \text{ in} = 3 \text{ in}$

Conclusion

The height of the screen in Amber's scale drawing will be 3 inches.

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Would you like more details or have any questions? Here are 5 related questions:

1. What is the importance of maintaining the same scale factor in a drawing?
2. How do you convert between different units (like feet to inches) when working with scale drawings?
3. Can you determine the scale factor if only the height of the drawing was given?
4. How would the scale change if Amber wanted a drawing width of 12 inches instead?
5. What other real-life scenarios require using scale drawings?

Tip: Always ensure to convert measurements to the same units when working with proportions in scale drawings.