Question

A plane flies 127 km/hr at 29 degrees north of east with a wind speed of 38 km/hr at 8 degrees south of east. What is the resulting velocity of the plane (in km/hr)?

Answer 1

N,S,E,W stands for North, South, East, West respectively in the above figure.

V_p = 127 km/h represents the velocity of plane in the given direction.

V_w = 38 km/h represents velocity of wind in the given direction.

If V₁ and V₂ are two vectors with an angle between them, the magnitude of resultant of these vectors( R ) is given as:

  

Therefore the magnitude of resultant velocity( V ) of velocities V_p and V_w is:

  

  

V = 159 km/h (approx)