document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154562>Question 1154562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a flat sidewalk, you lean a ladder against a wall. The base of the wall makes a 900<BR>\n" );
document.write( "angle with the sidewalk. The base of the ladder makes a 50 degree angle with the sidewalk.<BR>\n" );
document.write( "0<BR>\n" );
document.write( "You measure the distance from the base of the ladder to the wall and it is 12 feet.<BR>\n" );
document.write( "Answer each of the following questions please. Clearly indicate your answers with 5 digits<BR>\n" );
document.write( "after the decimal, except for whole numbers.<BR>\n" );
document.write( "a) How long is the ladder?<BR>\n" );
document.write( "b) How high up the wall does the ladder reach?<BR>\n" );
document.write( "c) What angle does the ladder make with the wall?<BR>\n" );
document.write( "d) Please - draw a diagram and show all calculations.<BR>\n" );
document.write( "e) Explain whether any two angles in your diagram represent a cofunction and<BR>\n" );
document.write( "prove your statement with values of sine and cosine. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777015 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length of the ladder<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28+50+%29+=+12+%2F+c+ ALIGN=MIDDLE  ALT=\"+cos%28+50+%29+=+12+%2F+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.64279+=+12+%2F+c+ ALIGN=MIDDLE  ALT=\"+.64279+=+12+%2F+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+12+%2F+.64279+ ALIGN=MIDDLE  ALT=\"+c+=+12+%2F+.64279+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+18.6687+ ALIGN=MIDDLE  ALT=\"+c+=+18.6687+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = height where ladder hits wall<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+50+%29+=+b+%2F+12+ ALIGN=MIDDLE  ALT=\"+tan%28+50+%29+=+b+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.19175+=+b+%2F+12+ ALIGN=MIDDLE  ALT=\"+1.19175+=+b+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+1.19175%2A12+ ALIGN=MIDDLE  ALT=\"+b+=+1.19175%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+14.301+ ALIGN=MIDDLE  ALT=\"+b+=+14.301+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "18.669 ft<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "14.301 ft<BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+beta+%29+=+12+%2F+14.301+ ALIGN=MIDDLE  ALT=\"+tan%28+beta+%29+=+12+%2F+14.301+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+beta+%29+=+.8391+ ALIGN=MIDDLE  ALT=\"+tan%28+beta+%29+=+.8391+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+beta+=+arc+tan%28+.8391+%29+ ALIGN=MIDDLE  ALT=\"+beta+=+arc+tan%28+.8391+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+beta+=+40+ ALIGN=MIDDLE  ALT=\"+beta+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "40 degrees ( 90 - 50 = 40 )<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "(e)<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+beta+ ALIGN=MIDDLE  ALT=\"+beta+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is opposite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+ ALIGN=MIDDLE  ALT=\"+alpha+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is opposite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28+alpha+%29+=+cos%28+beta+%29+ ALIGN=MIDDLE  ALT=\"+sin%28+alpha+%29+=+cos%28+beta+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28+alpha+%29+=+cos%28+90+-+alpha+%29+ ALIGN=MIDDLE  ALT=\"+sin%28+alpha+%29+=+cos%28+90+-+alpha+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );