Answer:
V = 156.85 Km/h
Explanation:
Speed of plane = 125 Km/h
angle of plane= 25° N of E
Speed of wind = 36 Km/h
angle of plane = 6° S of W
Horizontal component of the velocity
V_x = 125 cos 25° + 36 cos 6°
V_x = 149 Km/h
Vertical component of the velocity
V_y = 125 sin 25° - 36 sin 6°
V_y = 49 Km/h
Resultant of Velocity
[tex]V = \sqrt{V_x^2 + V_y^2}[/tex]
[tex]V = \sqrt{149^2 + 49^2}[/tex]
V = 156.85 Km/h
the resulting velocity of the plane is equal to V = 156.85 Km/h