Final answer:
To find out how many inches represent 2.5 feet in the given scale diagram, we can use the scale factor. The scale factor is 150 feet / 0.15 inch = 1000 feet/inch. Using this scale factor, we find that 400 inches represent 2.5 feet in the given scale diagram.
Step-by-step explanation:
To find out how many inches represent 2.5 feet in the given scale diagram, we can set up a proportion using the scale factor. The scale factor is found by dividing the actual distance by the corresponding length on the diagram. In this case, the actual distance is 150 feet and the corresponding length on the diagram is 0.15 inch. So the scale factor is 150 feet / 0.15 inch = 1000 feet/inch.
Now, we can use the scale factor to find the number of inches that represent 2.5 feet. We set up another proportion where the actual distance is 2.5 feet and the corresponding length on the diagram is x inches. So we have 2.5 feet / x inches = 1000 feet/inch.
Cross multiplying, we get 2.5x = 1000. Dividing both sides by 2.5, we find x = 400 inches. Therefore, 400 inches represent 2.5 feet in the given scale diagram.