The southern component of the jogger's path is given by:
[tex] S_y = S \sin \theta [/tex]
where
[tex] S=5.0 km [/tex] is the total distance of the jogger's run
[tex] \theta=60^{\circ} [/tex] is the angle with respect to the horizontal direction
Substituting numbers into the equation, we find
[tex] S_y=(5.0 km)\sin (60^{\circ})=4.33 km [/tex]
and the direction is south.
