document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213415>Question 213415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey there. the question is-<BR>\n" );
document.write( "A 2m high fence lies 3m from a wall of  abuilding. A ladder is placed on the other side of teh fence and just clears the fence to reach the wall.<BR>\n" );
document.write( "i) Calculate the shorstest ladder that can be used to reach the wall, and just clearing the fence.<BR>\n" );
document.write( "ii) Calculate the lenght of the ladder if its foot is 1m from the fence.\r<BR>\n" );
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document.write( " Thanks you so much. Great help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161197 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This question is about similar triangles. A question regarding similar triangles has been on every SAT test ever written.<BR>\n" );
document.write( "a)<BR>\n" );
document.write( "The ladder is the hypotenuse of a right triangle formed by the ground and the building wall as the other 2 sides. There is also a smaller similar triangle formed by the fence, ladder and ground.<BR>\n" );
document.write( "The smallest possible hypotenuse (ladder) occurs when the triangles are isosceles (45 degree angles). (1,1,sqrt(2) triangle).<BR>\n" );
document.write( "So, the length of ground from where the ladder touches to the fence must be equal to the height of the fence, 2m.<BR>\n" );
document.write( "The distance from the ground to the wall is 5m and where the ladder touches the wall is also 5m.<BR>\n" );
document.write( "The shortest length of the ladder is 5sqrt(2)m. <BR>\n" );
document.write( "b)<BR>\n" );
document.write( "If the ladder is 1 meter from the fence then the smaller triangle is a 1, 2, sqrt(5) triangle.<BR>\n" );
document.write( "The distance to the wall is 4m. The ladder touches the wall at 8m high and the length of the ladder is 4sqrt(5)m.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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