Answer :
The resulting speed of the airplane is 150 km/h.
Explanation:
In order to find the resultant speed of the airplane, we must use vector addition.
The airspeed of the airplane is:
[tex]v_1 = 120 km/h[/tex]
in the north direction
While the speed of the wind is
[tex]v_2 = 90 km/h[/tex]
in the west direction
We notice that the two vectors are at right angle to each other, so we can find their resultant by using Pythagorean's theorem:
[tex]v=\sqrt{v_1^2+v_2^2}[/tex]
And therefore, substituting the values, we find:
[tex]v=\sqrt{120^2+90^2}=150 km/h[/tex]
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