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Answer:
The length of her second displacement = 247.12 m.
The direction of her second displacement = 31.24° from west.
Step-by-step explanation:
As per the question,
From the figure as drawn below,
Let the starting point be O. After running 140 m due west, she reached at point A.
∴ OA = 140 m
And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.
∴ OP = 374 m
We have to find the distance AP = x.
By using the cosine rule in triangle OAP
After putting the given value, we get
∴ x = 247.12 m
Hence,the length of her second displacement = 247.12 m.
Again,
By using the cosine rule in triangle OAP, we get
After putting the given value, we get
∴ α = 148.759°
Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.
