Answer :
The plane's final velocity has a magnitude of 111.8034 m/s and a direction of 26°33′54 "north of east.
The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes.
A 50 m/s strong wind blowing from the east is blowing on the plane as it travels at 100 m/s heading directly north.
The plane's flight path and the wind's direction intersect at a 90° angle.
According to Pythagoras' theorem, the calculated speed is 1002+502=505-=111.8034 m/s.
Let be the angle between the plane's flying direction and the resulting velocity.
⇒tanα=50/100=12.
⇒α=arctan(12)=26°33′54".
The plane's final velocity has a magnitude of 111.8034 m/s and a direction of 26°33′54 "north of east.
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