Jin walked 4 km on a straight path to get to the sandwich shop. he traveled 30° south of east. what is the southern component of jin’s component, rounded to the nearest tenth? -3.5 km -2 km 2 km 3.5 km

- 2km ( you use the negative sign when you take the north as the postive direction, which is not mandatory but usual, depending on the circumstances).

Explanation:

The path (or displacement) of a movil object is described by a vector: it has magnitude and direction.

In a plane (two dimension frame of reference) two components are used to describe a vector.

Since, the displacement has been 30° south of east, you can find the southern and esatern components using trigonometric ratios.

In a cartesian coordinate system, the two components are determined by:

In this case, 4 km is the magnitude of the vector, the angle is 30°, the horizontal component is the eastern component and the vertical component is the southern component.

Hence:

By selecting the north direction as positive, then the southern direction has a negative sign.