document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=603665>Question 603665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 4.5 metre ladder rests against a vertical wall with its feet on level ground 2.5 m from the wall. <BR>\n" );
document.write( "(a) How high up the wall does it reach? <BR>\n" );
document.write( "(b) If the feet of the ladder are pushed 0.8 m closer to the wall, how much higher up the wall will it reach? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380767 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 4.5 metre ladder rests against a vertical wall with its feet on level ground 2.5 m from the wall.<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "You have a right triangle with base = 2.5 and hypotenuse = 4.5<BR>\n" );
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document.write( "(a) How high up the wall does it reach?\r<BR>\n" );
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document.write( "Use Pythagoras:<BR>\n" );
document.write( "height^2 + base^2 = hyp^2<BR>\n" );
document.write( "h^2 + 2.5^2 = 4.5^2<BR>\n" );
document.write( "h^2 = 4.5^2 - 2.5^2<BR>\n" );
document.write( "h^2 = 14 ft<BR>\n" );
document.write( "h = sqrt(14) ft.<BR>\n" );
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document.write( "(b) If the feet of the ladder are pushed 0.8 m closer to the wall, how much higher up the wall will it reach?<BR>\n" );
document.write( "base = 2.5-0.8 = 1.7 ft<BR>\n" );
document.write( "hypotenuse is still 4.5<BR>\n" );
document.write( "h^2 = 4.5^2 - 1.7^2<BR>\n" );
document.write( "h^2 = 17.36<BR>\n" );
document.write( "h = sqrt(17.36)<BR>\n" );
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document.write( "height has increased by sqrt(17.36)-sqrt(14) = 0.4249 ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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