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?
2 answers:
Answer:
The work for the previous answer is correct, however, since the final velocity is in the southward direction, the answer is -4.3.
Explanation:
Edgenuity will tell you this is the correct answer as well.
60 ° is the angle between W- direction and the run direction.
You need the angle betwee S-direction and the run direction. This is 90° - 60° = 30 °.
By geometry you can trace a right triangle, where the S-component is the adyacent side and the run is the hypotenuse.
Then cos 30° = adyacent side / hypotenuse = S-component / run
Then S-component = run * cos 30° = 5.0 km * 0.866 = 4.3 km
Answer: 4.3 km
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