Final answer:
Yes, the distance from his sink to the stovetop can be 9 feet if the total sum of the kitchen triangle's sides is within the recommended 13 to 26 feet, and if it allows for practical use. In the context of scale modeling, Anna's room's distance to the kitchen will be 10 centimeters on the diagram with a scale factor of 1/150.
Step-by-step explanation:
The student's question 'Can the distance from his sink to the stovetop be 9 feet?' pertains to the concept of the kitchen work triangle in home design. The kitchen triangle aims to maintain an efficient workspace with each side of the triangle representing one workstation (sink, refrigerator, and stovetop) and the lines between them being clear paths. There is no fixed rule that dictates the exact distances, but the sum of the three sides of the triangle typically should be between 13 and 26 feet according to design principles. So, a 9-foot distance from the sink to the stovetop could be feasible if the total distance conforms to this guideline and if the distances allow for comfortable use without congestion.
Regarding the information provided about Anna's room and the kitchen: To find the distance on the diagram from Anna's room to the kitchen, you would multiply the actual distance by the scale factor (15 meters x 1/150), giving a result of 0.1 meters or 10 centimeters on the diagram.