document.write( "Question 986704: A ladder 5m long leans against a vertical wall with an angle of 70 to the ground. The ladder slips down the wall 2m down the ground. Find
\n" ); document.write( "(a) the new angle which the ladder makes on the ground
\n" ); document.write( "(b)the distance the ladder has sliped back on the ground from its original position
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Algebra.Com's Answer #607496 by stanbon(75887)\"\" \"About 
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A ladder 5m long leans against a vertical wall with an angle of 70 to the ground. The ladder slips down the wall 2m down the ground.
\n" ); document.write( "Draw the picture.
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\n" ); document.write( "You have two overlapping right triangles.
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\n" ); document.write( "Original triangle measures::
\n" ); document.write( "base angle 70 degree
\n" ); document.write( "hypotenuse 5 m
\n" ); document.write( "height on wall 5*sin(70) = 4.7 meters
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\n" ); document.write( "Find
\n" ); document.write( "(a) the new angle which the ladder makes on the ground
\n" ); document.write( "New triangle measures::
\n" ); document.write( "hypotenuse 5 m
\n" ); document.write( "height on wall 4.7-2 = 2.7 meters
\n" ); document.write( "base angle:: sin^-1(2.7/5) = 32.68 degrees
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\n" ); document.write( "\n" ); document.write( "(b)the distance the ladder has slipped back on the ground from its original position
\n" ); document.write( "base = 5*cos(32.68)-5cos(70) = 2.5 meters
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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