What is the displacement of the car from the point of origin?

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The car's displacement from the point of origin involves calculating the resultant vector after driving 140 km west and then 30 km southwest. To determine the magnitude, the components of each leg of the journey must be analyzed and combined. A visual representation can aid in understanding the path taken and finding the resultant angle. The angle of displacement can be found using trigonometric functions, specifically tangent, to relate the southward and westward components. The final displacement is approximately 162.5 km at an angle south of west.
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6. A car is driven 140 km west and then 30 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
? km ( I know that this one is 162.5)
?° south of west ( I have no idea how to find this answer)
:bugeye:
 
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Draw a picture, then connect the starting point with the end point. You then should be able to find the resultant angle by computing and adding the components of each leg of the path.
 
If the angle is theta, then tan theta is the component of the displacement vector in south/in west. I think you must have found the components in this direction.
 
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