Asked by Al
An airplane is heading due south at a speed of 734 km/h . A wind begins blowing from the southwest at a speed of 110 km/h (average).
In what direction should the pilot aim the plane so that it will fly due south?
In what direction should the pilot aim the plane so that it will fly due south?
Answers
Answered by
Henry
The heading of wind from southwest is
northeast which is 45o N. of E.
Vaw = Va + Vw = -734i.
Va + 110[45o] = -734i.
Va + 110*Cos45 + i110*sin45 = -734i.
Va + 77.8 + 77.8i = -734i.
Va = -77.8 - 811.8i, Q3.
Tan A = -811.8/-77.8. = 10.43445.
A = 84.5o S. of W. = 5.5o W. of S. =
The direction.
northeast which is 45o N. of E.
Vaw = Va + Vw = -734i.
Va + 110[45o] = -734i.
Va + 110*Cos45 + i110*sin45 = -734i.
Va + 77.8 + 77.8i = -734i.
Va = -77.8 - 811.8i, Q3.
Tan A = -811.8/-77.8. = 10.43445.
A = 84.5o S. of W. = 5.5o W. of S. =
The direction.
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