You will be hiking to a lake with some of your friends by following the trails indicated on a map at the trailhead. the map says that you will travel 4.00 mi directly north, then 5.31 mi in a direction 35.0° east of north, then finally 1.10 mi in a direction 15.0° north of east. assume north to be +y and east to be +x. find the direction of the displacement vector for the hike. enter the answer as an angle north of east.
Answers: 1
for this displacement is given by
![35^{\circ} east of North; Position vector [tex]\vec{r_2}](/tpl/images/0375/1244/1eb2b.png)
w.r.t 
is given by 
North of east; Position vector 
w.r.t 
is given by 
w.r.t starting Point
![\vec{r_3}=\hat{i}\left [ 5.31\sin 35+1.1\cos15\right ]+\hat{j}\left [ 4+5.31\cos 35+1.1\sin15\right ]](/tpl/images/0375/1244/28f21.png)
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