<PRE><B>Question 1140658</B>
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(260^2+16^2)}}}
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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