Final answer:
To find the actual distance from the ranger's station to the beach, use the given scale and distance on the map. Set up a proportion and solve for the missing distance. The actual distance is 5.25 miles.
Step-by-step explanation:
We need to use the given scale and the distance on the map,to find the actual distance from the ranger's station to the beach, The scale is 0.5 inch = 1.5 miles. The distance on the map is 1.75 inches.
We can set up a proportion to solve for the actual distance:
0.5 inch / 1.5 miles = 1.75 inches / x miles
Cross-multiplying, we get:
0.5 inch * x miles = 1.5 miles * 1.75 inches
Dividing both sides by 0.5 inch, we find:
x miles = (1.5 miles * 1.75 inches) / 0.5 inch
= 5.25 miles
The actual distance from the ranger's station to the beach is 5.25 miles.