Amelia flies her airplane through calm skies (no wind) at a velocity (speed and direction) $\vec{v_1}$. The direction of $\vec{v_1}$ is $15^\circ$ north of east, and the speed is $180\,\text{km/h}$.
Eventually, however, she enters a windy part of the atmosphere and finds that her plane now moves at a velocity $\vec{v_2}$. The direction of $\vec{v_2}$ is due east, and the speed is $150\,\text{km/h}$.
(Assume "due east" is $0^\circ$, "due north" is $90^\circ$, and so on.)
**What is the speed of the wind?**
[[☃ numeric-input 1]]$\,\text{km}/\text{h}$
(Round your final answer to the nearest tenth.)
**In what direction is the wind blowing?**
[[☃ numeric-input 2]]$^\circ$
(Round your final answer to the nearest degree. Your answer should be between $0^\circ$ and $360^\circ$.)
