document.write( "Question 411403: the legs of a ladder are of equal length and are 1 meter apart. the slant height of the ladder is 2.4 metres. how high above the ground does the ladder reach? \n" ); document.write( "

Algebra.Com's Answer #289191 by stanbon(75887) $\"\"$ $\"About$

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The legs of a ladder are of equal length and are 1 meter apart. the slant height of the ladder is 2.4 metres. how high above the ground does the ladder reach?
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\n" ); document.write( "You have an isosceles triangle with base = 1 meter,
\n" ); document.write( "each side is 2.4 meters.
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\n" ); document.write( "Draw the height as a perpendicular bisector of the base.
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\n" ); document.write( "Use Pythagoras to find the height.
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\n" ); document.write( "slant height ^2 = height^2 + base^2
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\n" ); document.write( "2.4^2 = h^2 + (1/2)^2
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\n" ); document.write( "h^2 = 5.76 - 0.25
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\n" ); document.write( "h^2 = 5.51
\n" ); document.write( "height = 2.35 meters
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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