document.write( "Question 1119141: Anna runs 4 meters 40 degrees North of East, then 2 meters East, then 5.2 meters 30 degrees South of West. And finally 6.5 meters south before stopping for water break. Find her resultant displacement from where she started? \n" ); document.write( "
Algebra.Com's Answer #734629 by Alan3354(69443)\"\" \"About 
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Anna runs 4 meters 40 degrees North of East, then 2 meters East, then 5.2 meters 30 degrees South of West. And finally 6.5 meters south before stopping for water break. Find her resultant displacement from where she started?
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\n" ); document.write( "Label the points A, B, C, D & E in order.
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\n" ); document.write( "For AB:
\n" ); document.write( "x = 4*cos(40), y = 4*sin(40)
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\n" ); document.write( "For BC:
\n" ); document.write( "x = 2, y = 0
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\n" ); document.write( "For CD:
\n" ); document.write( "x = -5.2*sin(60), y = -5.2*cos(60)
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\n" ); document.write( "For DE:
\n" ); document.write( "x = 0, y = -6.5
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\n" ); document.write( "Add them.
\n" ); document.write( "x = 4cos(40) + 2 - 5.2*sin(60) = 4cos(40) - 5.2*sin(60) + 2 =~ 0.5608
\n" ); document.write( "y = 4sin(40) - 5.2*cos(60) - 6.5 =~ -6.5288
\n" ); document.write( "Point E is (0.5608,-6.5288)
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\n" ); document.write( "AE = sqrt(x^2 + y^2) = ~6.5529 meters from start
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\n" ); document.write( "I'm sure she needs water after running 17.7 meters, = 58 feet. \n" ); document.write( "
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