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## Homework Statement

Jan and Jorge ran away from a starting point. If Jorge ran 107m South and Jan ran 212m to the southwest, where is Jan relative to Jorge?

## Homework Equations

Inverse cos = adj/hyp

sin theta = opp/hyp

## The Attempt at a Solution

Jorge runs directly south and Jan runs southwest. So this forms a right triangle right? From there I solve for theta angle, which is located at their starting point. I solve it to be about 60 degrees. Next I solve for the opposite side as this is their separation in meters, correct? I solve this to be 183.597 meters.

My final answer: relative to jorge, jan is 184m directly west.

Did I solve this correctly?