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November 20, 2014

November 20, 2014

Posted by **joel** on Monday, February 1, 2010 at 12:45pm.

Is the angle 39.43?

- Can't understand trig problem -
**tom**, Monday, February 1, 2010 at 1:18pmYour answer is right

- Correction -
**Reiny**, Monday, February 1, 2010 at 3:43pmYour answer is not correct.

I see a triangle with sides 174 and 254 and the angle between those sides as 112º.

Let the third side be x. (The return path)

By Cosine Law:

x^2 = 174^2 + 254^2 - 2(174)(254)cos112º

x = 357.637

Let the angle at the turn be ß

By Sine Law:

sin ß/174 = sin 112/357.637

sin ß = .4510998

ß = 26.8º

So the plane must turn an angle of (180-26.8) or 153.2º

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