A map has a ratio scale of 1:24,000, what is the ground distance in feet if the map distance is 3.5 inches?
Is it 7,000 feet?
To determine the ground distance in feet, we need to use the ratio provided on the map.
The ratio scale given is 1:24,000, which means that 1 inch on the map represents 24,000 inches on the ground.
First, we need to convert the map distance of 3.5 inches to the corresponding ground distance. To do this, we can set up a proportion:
(map distance)/(ground distance) = (map scale)/(scale factor)
Let's substitute the values we have:
3.5 inches / ground distance = 1 inch / 24,000 inches
Cross-multiplying, we get:
3.5 inches * 24,000 inches = 1 inch * ground distance
84,000 inches = ground distance
To convert inches to feet, we divide by 12 since there are 12 inches in a foot:
84,000 inches / 12 = 7,000 feet.
Therefore, the ground distance corresponding to a map distance of 3.5 inches is indeed 7,000 feet. So your answer is correct!