K3orcymccarr
Answered

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?

Verified Answer :

Without rounding off, the answer is -4.33. Since, the southern component of the run of the jogger should be rounded to the nearest tenth of a kilometer, then the answer is -4.3. The answer is negative because it is going south.

skyluke89

The southern component of the jogger's path is given by:

\(S_y = S \sin \theta\)

where

\(S=5.0 km\) is the total distance of the jogger's run

\(\theta=60^{\circ}\) is the angle with respect to the horizontal direction


Substituting numbers into the equation, we find

\(S_y=(5.0 km)\sin (60^{\circ})=4.33 km\)

and the direction is south.

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