# Physics

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A car travels 20km due north and then 35km in a direction 60 degree west of north. Find the magnitude and direction of the resultant.

• Physics -

Call north y and east x
draw axis system with the vectors
x = -35 sin 60
y = 20 + 35 cos 60

sin of resultant angle east of north = x/y
(it will be negative of course since going more west than east)
magnitude = sqrt (x^2+y^2)

• Physics -

48.14

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