AMC 12 2013b Problem 11

Two bees start at the same spot and fly at the same rate in the following directions. Bee $A$ travels $1$ foot north, then $1$ foot east, then $1$ foot upwards, and then continues to repeat this pattern. Bee $B$ travels $1$ foot south, then $1$ foot west, and then continues to repeat this pattern. In what directions are the bees traveling when they are exactly $10$ feet away from each other?

up, $B$ west<br >

\textbf{(A)}\ A$east,$B$west<br \>$\textbf{(B)}\ A$north,$B$south<br \>$\textbf{(C)}\ A$north,$B$west<br \>$\textbf{(D)}\ A$up,$B$south<br \>$\textbf{(E)}\ A