A pilot wishes to fly at maximum speed due north. The plane can fly at 100km/h in still air. A 30km/h wind blows from the south-east.
a) The direction the plane must head to fly north.
b) Its speed relative to the ground.
Sine Rule: a/SinA=b/SinB=c/SinC
Cosine Rule: a2=b2+c2-2acCosA
The Attempt at a Solution
I attached a photo because I didn't know how to do maths on here.
The answer I got was 9.93 degrees and 123km/h
The answers from the sheet I'm working off say 12.24 degrees and 119km/h. And I don't understand how their way is correct. To get the angle they did: sin45/100=sinθ/30 If 100 is the planes speed it wouldn't be opposite to the angle of the direction of the wind.
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