A bicyclist rides 11.2 kilometerseast and then 5.3 kilometers south.What is the magnitude of thebicyclist's resultant vector?

GIVEN
The cyclist rides 11.2 kilometers east and then 5.3 kilometers south.
SOLUTION
The diagram is shown below:
The magnitude of the resultant can be calculated using the formula:
[tex]R=\sqrt{11.2^2+5.3^2}[/tex]Solve the equation for R:
[tex]\begin{gathered} R=12.39 \\ R\approx12.4\text{ km} \end{gathered}[/tex]Therefore, the resultant vector is 12.4 kilometers.