Answer:14 s
Explanation:
Given
Velocity of ant is 0.1 m/s in a direction [tex]45^{\circ}[/tex]
if it has traveled 1 m perpendicular to the edge of the sidewalk
i.e. from diagram
[tex]\sin 45=\frac{1}{L}[/tex]
[tex]L=\sqrt{2}[/tex]
[tex]time=\frac{Distance}{speed}[/tex]
[tex]t=\frac{\sqrt{2}}{0.1}[/tex]
[tex]t=14.14 s[/tex]