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## Homework Statement

Instructions for finding a buried treasure include the following: Go 572.7 paces at 223◦, turn to 156◦

and walk 124 paces, then travel 417 paces at 242◦

I have already found the magnitude...1015.66 paces

Now I need to find the resultant displacement...

What is the direction of the resultant displacement in degrees? Use counterclockwise from due East as the positive angular direction, between the limits of −180◦ and +180◦

## Homework Equations

To find magnitude: x=572.7cos(223)+124cos(156)+417cos(242)

x=-418.846-113.28-195.77=-727.896

y=572.7sin223+124sin156+417sin242

y=-390.58+50.4553-368.189=-708.334

-727.896^2+-708.334^2 = sqrt of 529833+501737 = 1015.66 paces

## The Attempt at a Solution

To find the direction of the resultant in degrees do I use arctan -708.334/-727.896x

or x1+x2 and y2-y1?