The direction where it is headed is the ideal direction while the course is the actual. There is a difference due to the wind force. Since the course is greater than the ideal direction, then the wind must be moving the plane towards the y-axis direction.
If we draw the lines at the same origin, we see that the angle between the actual and ideal directions is:
72˚ - 58˚ = 14˚
Using cosine law to calculate for the speed of wind, c:
c^2 = 150^2 + 130^2 – 2(150)(130)cos14
c^2 = 1558.47
c = 39.48 mph
Using sine law to calculate for the angle θ:
39.48 / sin14 = 130 / sinθ
sinθ = 0.8
θ = 52.81˚
Now this is the angle inside the triangle. The direction of the wind is:
180 + 58˚ - 52.81˚ = 185.2˚
Answer: The direction of the wind is around 185.2˚.
Answer:
Correct answer plain and simple:
39 mph
184 degrees
DONE
Step-by-step explanation:
