A map of a state park is drawn so that the origin is placed at the visitor center. The distance between grid lines is 1 mi. Suppose that two hikers are located at points A and B. Assume that the units of measurement are in miles.
A (-2,1)
B (3,-1)
To find the distance between points A and B, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates for points A and B, we get:
Distance = sqrt((3 - (-2))^2 + (-1 - 1)^2)
Distance = sqrt((5)^2 + (-2)^2)
Distance = sqrt(25 + 4)
Distance = sqrt(29)
Distance ≈ 5.39 miles
Therefore, the distance between hiker A and hiker B is approximately 5.39 miles.