document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085916>Question 1085916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help me please. A Ladder tuck arrives at a high rise apartment complex where a fire has broken out.If the maximum length the ladder extends is 48ft and the angle of inclination is 45 degrees,how high up the side of the building does the ladder reach assume the ladder mounted a top a 10ft high truck. the shorter leg is 4in. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700094 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a ladder mounted atop a 10-ft high fire truck<BR>\n" );
document.write( "is extended to a length of 48 f, at an angle of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "it would look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C45%2C-4%2C48%2C%0D%0Aline%28-5%2C0%2C45%2C0%29%2Cline%280%2C0%2C0%2C50%29%2C%0D%0Arectangle%284%2C2%2C43%2C10%29%2Ccircle%289%2C1.5%2C1.5%29%2C%0D%0Acircle%2836%2C1.5%2C1.5%29%2Ctriangle%2833%2C10%2C35%2C10%2C17.87%2C27.87%29%2C%0D%0Atriangle%2833%2C10%2C35%2C10%2C16.13%2C26.13%29%2C%0D%0Atriangle%2817.87%2C27.87%2C16.13%2C26.13%2C0%2C43%29%2C%0D%0Atriangle%2817.87%2C27.87%2C16.13%2C26.13%2C0%2C45%29%2C%0D%0Ared%28line%280%2C10%2C34%2C10%29%29%2Cred%28line%2834%2C10%2C0%2C44%29%29%2C%0D%0Ared%28line%280%2C10%2C0%2C44%29%29%2Clocate%2810%2C7%2Ctruck%29%2C%0D%0Ared%28rectangle%280%2C10%2C2%2C12%29%29%2Clocate%2815%2C0%2Cground%29%2C%0D%0Alocate%28-6%2C20%2Cwall%29%2Clocate%2818%2C17%2Cladder%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Removing the truck <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-7%2C45%2C-4%2C48%2C%0D%0Aline%28-5%2C0%2C45%2C0%29%2Cline%280%2C0%2C0%2C50%29%2C%0D%0Ared%28line%280%2C10%2C34%2C10%29%29%2Cred%28line%2834%2C10%2C0%2C44%29%29%2C%0D%0Ared%28line%280%2C10%2C0%2C44%29%29%2C%0D%0Ared%28rectangle%280%2C10%2C2%2C12%29%29%2Clocate%2815%2C0%2Cground%29%2C%0D%0Alocate%28-6%2C20%2Cwall%29%2Clocate%2818%2C28%2C48ft%29%2C%0D%0Alocate%280.4%2C30%2Cx%29%2Carc%2834%2C10%2C16%2C16%2C180%2C225%29%2C%0D%0Alocate%2827%2C14%2C45%5Eo%29%2Clocate%280.4%2C6%2C10ft%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "we just see a right triangle.<BR>\n" );
document.write( "It has a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle, of course, and two acute angles.<BR>\n" );
document.write( "We are told the bottom acute angle measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the other acute angle measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo-45%5Eo=45%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo-45%5Eo=45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That means it is an isosceles right triangle.<BR>\n" );
document.write( "In other words, the distance from the bottom of the ladder to the building wall<BR>\n" );
document.write( "is the same as the vertical distance between the bottom of the ladder and the point it touches the building..<BR>\n" );
document.write( "The sides of that right triangle measure, x, x, and 48ft.<BR>\n" );
document.write( "Applying the Pythagorean theorem, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2=%2848ft%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2=%2848ft%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=2304ft%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2=2304ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=1152ft%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=1152ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%281152%29 ALIGN=MIDDLE  ALT=\"x=sqrt%281152%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ft=about33.94ft ALIGN=MIDDLE  ALT=\"ft=about33.94ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the top of the ladder is about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33.94ft%2B10fy=43.94ft ALIGN=MIDDLE  ALT=\"33.94ft%2B10fy=43.94ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > (or about 44 ft) above ground level. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );