How Do You Calculate Displacement for Multiple Direction Movements?

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To calculate the final displacement for a person walking 200 meters west, then 300 meters south, and finally 150 meters east, the correct approach involves using vector addition. The net movements can be represented as vectors, and the final position can be determined using the Pythagorean theorem. The confusion arises from the angles and the distances involved, particularly regarding the final meeting point. The calculation should yield a displacement of approximately 58.3 meters at an angle of 80.5 degrees south of west. Clarifying the distances and directions is crucial for accurate displacement calculation.
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Finding the displacement...

Okay so I've been having a lot of trouble trying to find the final displacement for a person who begins walking 200 meters west, the 300 meters south and finally meets his friend 150 meters away. I somehow got that he will be 80.5 degrees South or West by going Tan*(300m/80m) but I can't get his displacement as 58.3 meters...I'm confused. Help will be greatly appreciated :)
 
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Opps the 150 meters where he meets his friend should be 150 meters east..
 
You sure it's 300 m south? You sure it's not 30 m?
 
yeah it says 300 meters south
 

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