Physics
posted by Evin .
A car is driven east for a distance of 46 km, then north for 27 km, and then in a direction 35° east of north for 24 km.
Determine the angle (from east) of the car's total displacement measured from its starting direction.

35 Deg. E of N = 90  35 = 55 Deg CCW
from the positive xaxis.
X = Hor = 46 + 24cos55 = 46 + 13.6 = 59.8 km.
Y = Ver. = 27 + 24sin55 = 27 + 19.7 =
46.7 km.
D = (59.8  46) + i46.7 = 13.8 + i46.7
tanA = 46.7/13.8 = 3.38,
A = 73.5 Deg. = Angle of Displacement.
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