Asked by Andre
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?
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?
Answers
Answered by
MathMate
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)?
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)?
Answered by
Dreskillz89
Ah, that was the problem. I only put 12 degrees, not 12.462.
Thanks!
Thanks!
Answered by
MathMate
You're very welcome!
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