Mario programs his helicopter to fly at a target with a velocity (speed and direction) of p. The direction of p is
due east, and its speed is 6 m/s.
To Mario's dismay, the wind causes his helicopter to actually fly with a velocity a, and it misses its target. The
direction of ā is 30° south of east, and its speed is 5 m/s.
(Assume "due east" is 0°, "due north" is 90°, and so on.)
What is the speed of the wind?
m/s
(Round your final answer to the nearest tenth.)
In what direction is the wind blowing?
(Round your final answer to the nearest degree. Your answer should be between 0 and 360°.)