Answer: [tex]13.34\ \text{miles}[/tex]
Step-by-step explanation:
Given
First the person travels 13 mi west and then 3 mi due to south
The distance traveled by crow is represented by line BO
using Pythagoras theorem, we can write
[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]