Answer:
To solve this problem, we can set up a proportion to find the actual distance between city C and D.
Let's denote:
- \( x \) as the actual distance between city C and D in miles.
- \( y \) as the scale factor between the map and reality.
We know that the distance between CA and CB is 500 miles and the corresponding length on the map is 1.7 feet. Thus, we have the proportion:
\[ \frac{1.7}{500} = \frac{2.38}{x} \]
Now, let's solve for \( x \):
\[ x = \frac{500 \times 2.38}{1.7} \]
\[ x = \frac{1190}{1.7} \]
\[ x \approx 700 \]
So, the actual distance between city C and D is approximately 700 miles.