Answer:2.05 mi
Explanation:
Given
Joe travel 2.4 mi due to north
[tex]r_1=2.4\hat{j}[/tex]
then turns right and travel 1 mi
[tex]r_{21}=1\hat{i}[/tex]
then it again turn right on Washington avenue
[tex]r_{32}=-0.6\hat{j}[/tex]
Final Position of Joe is
[tex]r_3=\hat{i}+1.8\hat{j}[/tex]
its distance from gas station is
[tex]|r_{3}|=\sqrt{1^2+1.8^2}[/tex]
=2.059 mi[/tex]
