Answer :
Final answer:
Ratio scales are matched with verbal scales by converting all measurements to the same units and comparing them with the ratio format 1:x. The correct matches are 1:48000 to 1 cm = 480 m (A), 1:62500 to 1 in = 0.99 mi (C), and 1:250000 to 1 in = 20,833 ft (B).
Explanation:
The task involves matching ratio scales with verbal scales. To do that, we need to convert the given measurements into consistent units and equate them to the fractional scale format, which is expressed as 1:x, where 'x' represents how many units on the ground are equivalent to one unit on the map.
Let's look into each lettered item:
- For A) 1 cm = 480 m, since there are 100 cm in 1 m, we multiply 480 by 100 to convert meters to centimeters, thereby getting the scale factor as 1:48,000.
- For B) 1 in = 20,833 ft, we note there are 12 inches in 1 foot. So to find the total number of inches, we multiply 20,833 by 12, resulting in a scale factor of 1:250,000.
- For C) 1 in = 0.99 mi, considering there are 5,280 feet in a mile and 12 inches in a foot, we multiply 0.99 by 5,280 and then by 12 to get the scale factor which comes out to be roughly 1:62,500.
Accordingly, we can then match the lettered items with the numbered items as follows:
- 1:48000 → A
- 1:62500 → C
- 1:250000 → B
