Naz is swimming the English Channel from France to England. A few minutes ago, she was swimming in calm waters at a velocity (speed and direction) $\vec{v_1}$. The direction of $\vec{v_1}$ is due north, and the speed is $8\,\text{km/h}$.
Now, however, she has encountered a current. Without changing the way she swims, she is now moving at a velocity $\vec{v_2}$. The direction of $\vec{v_2}$ is $20^\circ$ west of north, and the speed is $12\,\text{km/h}$.
(Assume "due east" is $0^\circ$, "due north" is $90^\circ$, and so on.)
**What is the speed of the current?**
[[☃ numeric-input 1]]$\,\text{km}/\text{h}$
(Round your final answer to two decimal places.)
**In what direction is the current flowing?**
[[☃ numeric-input 2]]$^\circ$
(Round your final answer to the nearest degree. Your answer should be between $0^\circ$ and $360^\circ$.)
