Final answer:
The distance on the diagram from Anna's room to the kitchen is 10 centimeters.
Step-by-step explanation:
To find the width of Anna's room on the diagram, we need to use the scale factor of 1/150.
The actual distance from Anna's room to the kitchen is 15 meters.
We can set up the proportion 1/150 = x/15, where x represents the distance on the diagram.
Cross-multiplying gives us x = (1/150) * 15, which simplifies to x = 0.1 meters or 10 centimeters.
Therefore, the distance on the diagram from Anna's room to the kitchen is 10 centimeters.