document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042063>Question 1042063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ladder 2.5 m rests on a wall with its other end on the ground 1.5 m from the wall. A 0.2 vertical strut fits in between the ladder and the ground as shown. <BR>\n" );
document.write( "a) What is the height of the top of the ladder which rests against the wall from the ground?<BR>\n" );
document.write( "b) How far from the bottom end of the ladder would the 0.2 m vertical strut fit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656983 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ladder 2.5 m rests on a wall with its other end on the ground 1.5 m from the wall.<BR>\n" );
document.write( " A 0.2 vertical strut fits in between the ladder and the ground as shown.<BR>\n" );
document.write( "a) What is the height of the top of the ladder which rests against the wall from the ground?<BR>\n" );
document.write( "let a = the height of the top of the ladder from the ground<BR>\n" );
document.write( "a right triangle is formed, the ladder is the hypotenuse<BR>\n" );
document.write( "a^2 + + 1.5^2 = 2.5^2<BR>\n" );
document.write( "a^2 + 2.25 = 6.25<BR>\n" );
document.write( "a^2 = 6.25 - 2.25<BR>\n" );
document.write( "a^2 = 4<BR>\n" );
document.write( "a = 2 meters is the height of the top of the ladder<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) How far from the bottom end of the ladder would the 0.2 m vertical strut fit?<BR>\n" );
document.write( "Find the angle (A) that the ladder makes with the ground using the cosine<BR>\n" );
document.write( "where the hypotenuse is 2.5 and the side adjacent (ground) is 1.5<BR>\n" );
document.write( "Cos(A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F2.5 ALIGN=MIDDLE  ALT=\"1.5%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cos(A) = .6<BR>\n" );
document.write( "A = 53.13 degrees<BR>\n" );
document.write( "The strut forms a right angle with the ground<BR>\n" );
document.write( "Use the tangent of 53.13 degrees where side opposite is .2 & side adjacent is the distance from the ladder (b) that we are looking for<BR>\n" );
document.write( "Tan(53.13) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2%2Fb ALIGN=MIDDLE  ALT=\".2%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.33 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2%2Fb ALIGN=MIDDLE  ALT=\".2%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.33b = .2/1.33<BR>\n" );
document.write( "b = .15 meters from the end of the ladder to the strut<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );