How do I solve this physics question?
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How do I solve this physics question?

[From: Physics] [author: ] [Date: 01-07] [Hit: ]
How do I solve this physics question?Determine the angle that the vector sum of the displacements Δd1 = 1.0 m [46.7° S of W], Δd2 = 13.9 m [S] and Δd3 = 21.7 m [35.0° S of E] makes South of East.......


How do I solve this physics question?
Determine the angle that the vector sum of the displacements Δd1 = 1.0 m [46.7° S of W], Δd2 = 13.9 m [S] and Δd3 = 21.7 m [35.0° S of E] makes South of East.
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answers:
oubaas say: Determine the angle that the vector sum of the displacements Δd1 = 1.0 m [46.7° S of W], Δd2 = 13.9 m [S] and Δd3 = 21.7 m [35.0° S of E] makes South of East.

along x axis :
Δx = -1.0*cos 46.7 + 0 + 21.7*cos 35.0 = 17.09 m
along y axis :
Δy = -1.4*sin 46.7 - 13.9 - 21.7*sin 35. = -27.07 m

Δ = √17,09^2+(-27,07^2) = 32.02 m
heading = arctan Δy/Δx = -57.74° ( 57.74 SoE)
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