SOLUTION: To fly due north at 580km/h when there is a 45km/h wind blowing from 130degrees, with what heading and speed should a plane travel? Thanks so much!

Question 310051: To fly due north at 580km/h when there is a 45km/h wind blowing from 130degrees, with what heading and speed should a plane travel?
Thanks so much!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
To fly due north at 580km/h when there is a 45km/h wind blowing from 130degrees, with what heading and speed should a plane travel?
---------------
North is a direction of 360� or 0�.
A wind from 130� makes a 50� interior from north (180-130).
--------------
The plane's airspeed is
=
=
= 567.14 kph
------------
The heading:
sin(B)/45 = sin(50)/567.14
sin(B) = 0.060782
B = 3.48�
Heading = 3.48�

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