Respuesta :
Answer:
10 Km
Explanation:
To solve this we have to find the total displacement on the X and Y axis, we will take the first direction goin to the positive Y.
[tex]d_y=4.5km+6.4km*sin(45)=9km\\d_x=6.4km*cos(45)=4.5km[/tex]
The magnitud of the displacement is given by:
[tex]d=\sqrt{d_x^2+d_y^2}\\d=\sqrt{4.5^2+9^2}=10km[/tex]