document.write( "Question 453881: A plane is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph.\r
\n" ); document.write( "\n" ); document.write( "What is ground speed of the plane?
\n" ); document.write( "What is the smallest angle in the triangle?
\n" ); document.write( "What is the biggest angle in the triangle?
\n" ); document.write( "What is the remaining angle in the triangle?
\n" ); document.write( "What is the bearing of the plane?
\n" ); document.write( "

Algebra.Com's Answer #311761 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A plane is flying 240 mph heading N60°E.
\n" ); document.write( "The wind is blowing S30°E at 30 mph.
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\n" ); document.write( "Plane components:
\n" ); document.write( "xp = 240cos(60)
\n" ); document.write( "yp = 240sin(60)
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\n" ); document.write( "Wind components:
\n" ); document.write( "xw = 30cos(30)
\n" ); document.write( "yw = 30sin(30)
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\n" ); document.write( "What is ground speed of the plane?
\n" ); document.write( "Actual plane position after one hour in the air:
\n" ); document.write( "(240cos(6)+30cos(30);240sin(60)+30sin(3)) = (145.98,222.85)
\n" ); document.write( "Ground speed = sqrt[145.98^2+222.85^2] = 266.40 mph
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\n" ); document.write( "What is the smallest angle in the triangle?
\n" ); document.write( "What is the biggest angle in the triangle?
\n" ); document.write( "What is the remaining angle in the triangle?
\n" ); document.write( "---
\n" ); document.write( "Question: Which triangle? the given condition triangle
\n" ); document.write( "or the resultant triangle?
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\n" ); document.write( "What is the bearing of the plane?
\n" ); document.write( "tan^-1[222.85/145.98] = 56.77 degrees
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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