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## Homework Statement

A person walks 20m [N20(degrees)E], then 120m [N50(degrees)W], then 150m[W], and finally 30m [S75(degrees)E]. Find the person's final displacement.

## Homework Equations

Is my solution correct? The textbook answers are 230m[N23(degrees)W]

What did I do incorrect? Explain please :/ :(

## The Attempt at a Solution

***Horizontal Component***

(20m)cos70

-(120m)cos40

-150m

(30m)cos75

**Total for horizontal component**: -227m

***Vertical Component***

(20m)sin70

(120m)sin40

0

-(30m)sin75

**Total for vertical component**: 67m

**Total displacement**= sqrt(-227m^2)+(67m^2)

=237m

**Direction**: tan^-1(67m/227m)

=16.4

**Answer**= 237m[W16(degrees)N]