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Answer :
Final answer:
We calculate the northern component of the car's displacement by multiplying the total displacement by the cosine of 36.9 degrees, which results in approximately 40km.
Explanation:
The 'northern component' of displacement describes how far the car has moved in the north direction. In our case, a car has a displacement of 50km at an angle of 36.9 degrees north of west. To find the northern component, we use basic trigonometry particularly the cosine function because the angle we have is adjacent to the northern direction (the 'north' is our cosine). The northern component can be calculated as follows: 50km * cosine(36.9 degrees). The result would be approximately 40km (rounding to the nearest km).
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