Question

Tom flies the helicopter through calm skies at a
velocity v1. The direction of v1 is 15o north of east,
and the speed is 180 km/h.
Eventually, however, he enters a windy part of the
atmosphere and finds that his helicopter now
moves at a velocity v2. The direction of v2 is due
east, and the speed is 150 km/h.
Assuming that ‘due east’ is 0o, ‘due north’ is 90o,
and so on, find
i. the speed of the wind;
ii. in what direction is the wind blowing

Answer 1

If the wind speed is <x,y> then you have

<180 sin15°,180 cos15°> + <x,y> = <150,0>

Now you can find x and y, and thus the speed and direction.