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
![s=\sqrt[]{u^2+v^2}](https://img.qammunity.org/2023/formulas/physics/college/rcppgufmxvrj6e4e9d2n51bj6x7vevo3ti.png)
Substitute the known values in the above expression as
![\begin{gathered} s=\sqrt[]{(15)^2+(3)^2} \\ =\sqrt[]{234} \\ =15.29\text{ Km} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/84zcya3mfqvgo5bhsjulmqicyknscm9d5k.png)
Hence, the displacement is s = 15.29 km