Answer:
The total displacement is 102 km [tex]51^o[/tex] north of east.
Explanation:
We can treat this problem as a trigonometric one, so we need to calculate the total displacement on the north and east.
[tex]d_n=34km+79km*sin(35^o)=79km[/tex]
and
[tex]d_e=79*cos(35^o)=65km[/tex]
The total displacement is given by:
[tex]D=\sqrt{(79km)^2+(65km)^2}=102km[/tex]
with an agle of:
[tex]\alpha =arctg(\frac{79km}{65km})=51^o[/tex]
