Answer :
The distance is 20 miles
Explanation:
Definitions:
- Distance is the total length of the path covered by an object during its motion, regardless of the direction of its motion
- Displacement is the shortest distance between the initial and final position of the motion, so it also takes into account the direction of motion
In this problem, we want to know the distance covered by the woman. The motion consists of the following parts:
[tex]d_1 = 10 miles[/tex] north
[tex]d_2 = 8 miles[/tex] east
[tex]d_3 = 2 miles[/tex] south
To find the distance, we just have to add the length of each path, ignoring the direction. Therefore:
[tex]d=d_1 + d_2 + d_3 = 10+8+2 = 20 miles[/tex]
Learn more about distance and displacement:
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