Given data
*A person bikes towards the south is u = 15 km
*Also it covers the distance towards the east is v = 3 km
The formula for the displacement is given as
[tex]s=\sqrt[]{u^2+v^2}[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} s=\sqrt[]{(15)^2+(3)^2} \\ =\sqrt[]{234} \\ =15.29\text{ Km} \end{gathered}[/tex]Hence, the displacement is s = 15.29 km