A jogger runs 5.0 km on a straight trail at an angle of 60° south of west. What is the southern component of the run rounded to the nearest tenth of a kilometer?

The run is 5.0 km at 60° from west toward south, so its southern (vertical) component has magnitude 5.0 sin(60°) ≈ 4.3 km. Taking north as the positive direction makes a southward component negative, giving −4.3 km, choice A.

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