Final answer:
By converting the distance between buildings from miles to inches and using the map scale of 1 inch:22900 inches, we find that two buildings 3.69 miles apart would be represented as 10.2 inches apart on the map.
Step-by-step explanation:
The question relates to finding the map scale representation of a real-world distance. To solve this, we will use the given map scale of 1 inch:22900 inches. First, we need to convert the distance between the buildings from miles to inches since the map's scale is in inches. There are 63,360 inches in a mile, so we calculate the real-world distance in inches as follows: 3.69 miles * 63,360 inches/mile = 233,798.4 inches.
Next, we apply the map scale to find how many inches on the map represents the real-world distance. We set up a proportion where the real-world distance corresponds to the map distance. Using the scale 1 inch:22900 inches, the proportion is:
1 inch / 22900 inches = x inches / 233,798.4 inches.
Solving for x, we get:
x = 233,798.4 inches / 22900 = 10.2 inches on the map.