Posted by Andre on Sunday, September 20, 2009 at 3:20pm.
An airplane pilot wishes to fly due west. A wind of 82.0 km/h is blowing toward the south.
If the airspeed of the plane (its speed in still air) is 380.0 km/h, in which direction should the pilot head?
This is what I did. I let
theta = arcsin(82.0/380.0)
theta = 12 degrees North of West
but I got it wrong I guess...Did I miss something?

physics  MathMate, Sunday, September 20, 2009 at 3:40pm
The logic sounds good to me.
The southward component is 82 km/hr which is cancelled by 380 sin(θ).
The θ that I calculated is 12.462 degrees approx. north of west.
Is your answer from the computer requiring a definite number of decimal places, or is it on paper? Or perhaps the answer is expressed bearing, or 282.462 degrees (clockwise from the north)?

physics  Dreskillz89, Sunday, September 20, 2009 at 4:03pm
Ah, that was the problem. I only put 12 degrees, not 12.462.
Thanks!

physics  MathMate, Sunday, September 20, 2009 at 4:21pm
You're very welcome!
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