Acar drives 16 miles south and then 12 miles west. what is the magnitude of the car’s displacement? 4 miles 16 miles 20 miles 28 miles

For this case, what we can do is use the Pythagorean theorem to find the magnitude of the displacement of the car.
 We have then
 
 From here, we clear the value of d.
 We have then:
 
 Rewriting:
 
 
 
 
 The magnitude of the car's displacement is:
 d = 20 miles