Question

the trail of tears refers to the pathways traveled by native americans between about 1830 and 1850 when they were forced by the u.s. government to move from ancestral homelands in the southeast to newly designated \indian country\ west of the mississippi river. the map shows routes taken by an estimated 16,000 cherokees after their forced removal in 1838. an estimated 4000 died as they traveled overland, on foot, in wagons, and by boat. using the map scale, estimate the length of the land route (green line) between fort payne and tahlequah. is this estimate likely to be less than or greater than the actual length of the route? click the icon to view the map of the trail of tears. the distance is approximately □ miles. this distance is likely to be ▼ the actual length of the route. trail of tears map map image

Explanation:

Step1: Determine the map scale

From the map, the scale bar shows 50 miles for a certain length. Let's assume we measure the length of the green line (land route) between Fort Payne and Tahlequah with a ruler. Suppose the length of the scale bar (50 miles) is, say, 1 cm, and the measured length of the green line is 3 cm (this is a hypothetical measurement; in reality, you'd measure the map).

Step2: Calculate the distance

Using the scale, if 1 cm = 50 miles, then for 3 cm, the distance is $3 \times 50 = 150$ miles (this is an example; the actual measurement will vary based on the map). When we measure a curved line (the land route) as a straight line on the map, we are approximating the distance. Since the actual route is likely to have more curves (i.e., the actual path is longer than the straight - line distance we measure on the map), the estimate (using the straight - line distance on the map) is likely to be less than the actual length.

(Note: The actual distance will depend on the precise measurement of the map. For example, if the scale is 50 miles per unit length and the measured length of the green line is 2 units, the distance would be $2\times50 = 100$ miles, but the key point about the estimate being less than the actual length remains because of the curved nature of the route.)

Answer:

The distance is approximately \(\boldsymbol{150}\) miles (actual value depends on map measurement). This distance is likely to be \(\boldsymbol{\text{less than}}\) the actual length of the route.