an air craft is travelling due north with velocity of 100m/s astrong wind blow from the west with in velocity of 25m/s the reshstant velocity

The aircraft is traveling north at 100 m/s.

The wind blows from the west (towards the east) at 25 m/s.

The two vectors form a right triangle. The magnitude of the resultant velocity can be found with Pythagorean theorem:

v² = vx² + vy²

v² = (25 m/s) ² + (100 m/s) ²

v = 103 m/s

The direction can be found with trigonometry:

θ = atan (vy / vx)

θ = atan (100 / 25)

θ = 76.0°

The resultant velocity is 103 m/s at 76.0° north of east.