Answer:
66° north of east
Explanation:
The flight path can be modeled as the hypotenuse of a right triangle. When the direction angle is measured north of east, the distance north is opposite the angle in the right triangle, and the distance east is adjacent. The relevant trig relation is ...
Tan = Opposite/Adjacent
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setup
Using the given distances, the angle θ north of east will be ...
tan(θ) = (200.0 km)/(90.0 km) = 20/9
solution
The measure of the angle is found using the inverse tangent function.
θ = arctan(20/9) ≈ 65.7723°
The straight line path is in the direction 66° north of east.
