Answer:
total distance is 11.3 miles
Explanation:
Given data:
distance to north = 1.2 miles
distance to south at 38 degree east of south = 6.1 miles
distance to east of north at angle 89 degree = 4 miles
distance to east of north at angle 31 degree = 6.5 miles
considering each displacement as vector so we have
[tex]\begin{pmatrix}0.0\\ 1.2\end {pmatrix} + \begin {pmatrix}
3.8\\ -4.8\end{pmatrix} +\begin{pmatrix}4.0\\ 0.1\end {pmatrix}+\begin{pmatrix}3.3\\ 5.6\end{pmatrix} = \begin{pmatrix}11.1\\ 2.1\end{pmatrix}[/tex]
total distance is [tex]\sqrt{11.1^2 + 2.1^2} \approx 11.3[/tex]
