To solve this problem, we need to use the concept of similar rectangles. In similar figures, the ratios of corresponding sides are equal.

Let's assume the dimensions of the door and the window are given, where:

• The height of the door = $h_{door}$
• The width of the door = $w_{door}$
• The height of the window = $h_{window}$ (what we're looking for)
• The width of the window = $w_{window}$

The ratio of the height to width of the door and window will be the same because the rectangles are similar. Therefore, we can write:

$\frac{h_{door}}{w_{door}} = \frac{h_{window}}{w_{window}}$

From here, we can solve for $h_{window}$ by rearranging the formula:

$h_{window} = \frac{h_{door} \times w_{window}}{w_{door}}$

Now, if you could provide the specific dimensions from the diagram (the heights and widths of both the door and window), I can calculate the exact height of the window for you.

Would you like to share the dimensions, or upload an image of the diagram for further assistance?

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Here are 5 related questions for further practice:

1. How do you calculate the area of similar figures?
2. If the ratio of the sides of two similar rectangles is 3:2, how would you find the height of one rectangle given its width?
3. How do you prove two shapes are similar using their dimensions?
4. What is the ratio of the areas of two similar rectangles?
5. How does changing the width of a window affect its height if the shapes are similar?

Tip: Always check that ratios of corresponding sides are consistent when dealing with similar shapes.