Question

Suppose you have a map with a scale of 1/31680 and that city A is 4 inches away from the city B on the map. How many inches apart are they on the actual surface of the Earth?

Answer 1

City A and city B are 2 miles apart on the actual surface of the Earth.

Step-by-step explanation:

To determine the actual distance between city A and city B on the Earth's surface, you can use the scale provided on the map. The scale 1/31,680 means that 1 inch on the map represents 31,680 inches in reality.

Given that city A and city B are 4 inches apart on the map, you can calculate the actual distance as follows:

Actual Distance = (Map Distance) x (Scale)

Actual Distance = (4 inches) x (31,680 inches/inch)

Actual Distance = 126,720 inches

Now, you can convert this distance to a more common unit of measurement like feet or miles. Since there are 12 inches in a foot, and 5,280 feet in a mile:

Actual Distance = (126,720 inches) / (12 inches/foot) = 10,560 feet

So, city A and city B are 10,560 feet apart on the actual surface of the Earth. If you want to convert this distance to miles, you can do the following:

Actual Distance (in miles) = (10,560 feet) / (5,280 feet/mile) = 2 miles

Therefore, city A and city B are 2 miles apart on the actual surface of the Earth.