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.
