Answer:
389.82 mi/hr
Explanation:
For us to find the resultant speed of the aircraft, we will simply add the vector components of the wind and the vector velocity of the aircraft to get;
V = v_xi^ + v_yj^
Now,
v_xi^ = (300 + 100cos30°)i^
v_yj^ = (100 sin 30°) j^
This gives;
v_xi^ = 386.6 i^
v_yj^ = 50 j^
Thus;
V = 386.6 i^ + 50 j^
Resultant velocity is;
|V| = √(386.6² + 50²)
|V| = √151959.56
|V| = 389.82 mi/hr