Solving Vector Resultants: Magnitude & Direction

[anglum]

vector resultants? please help...

Homework Statement

go 83.9 paces at 188 degrees

turn to 128 degrees and walk 199 paces

then travel 73 paces at 179 degreess

find the magnitude of the resultant displacement from the starting point, answer in units of paces.

and what is the direction of the resultant displacement? use counterclockwise from due east as the positive angular direction between the limits of-180 degrees and +180 degrees. answer in units of degrees.

Homework Equations

The Attempt at a Solution

i have found the x components to be all in the west direction with the values being
i got these by takin the distance times the cos of the angle
a to b = -83.9
b to c = -122.52
c to d = -72.989

with the resultant being 279.409 west

y components
i got these by taking the distance times the sin of the angle
a to b = -11.68 south
b to c = 156.87 north
c to d = 1.27 north

not sure what the resultant comes to? please help

once i get both resultants correct i use the pythagorean theorem to get the reultant for the distance from a(starting point) to d (ending point) correct?

 

[chaoseverlasting]

Yeah... what youre doing is correct. -11.68 south is equal to 11.68 north. That should help. Do what you did earlier.