SOLUTION: An airplane is heading due north at 260 mph. a 16 mph window blows from the east. what is the ground speed and direction of the plane

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Question 1140658: An airplane is heading due north at 260 mph. a 16 mph window blows from the east. what is the ground speed and direction of the plane




Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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An airplane is heading due north at 260 mph. a 16 mph window blows from the east. what is the ground speed and direction of the plane.
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The wind is blowing 90 degrees from the heading, we can solve this using a right triangle. The hypotenuse (h) will be the effective speed and direction.
h = sqrt%28260%5E2%2B16%5E2%29
h = 260.5 mph is the ground speed
find the angle (A) using the cosine
cos(A) = 260/260.5
A = 3.52 degrees west of north
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