document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132210>Question 1132210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ladder AB, which is set up with B on a horizontal ground and vertical wall, makes an angle of 71 degree with the ground. It is prevented from slipping by a tight rope PQ of length 1.6meters, fixed at P to the foot of the wall and at Q to the ladder, PQ being at the right angles to AB. Calculate in centimetres, the height AP of the ladder above P and length of the ladder. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749214 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=749214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ladder AB, which is set up with B on a horizontal ground and vertical wall, makes an angle of 71 degree with the ground.<BR>\n" );
document.write( "It is prevented from slipping by a tight rope PQ of length 1.6meters, fixed at P to the foot of the wall and at Q to the ladder, PQ being at the right angles to AB.<BR>\n" );
document.write( " Calculate in centimetres, the height AP of the ladder above P and length of the ladder.<BR>\n" );
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document.write( "Draw a diagram of this as described.<BR>\n" );
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document.write( "Change 1.6 m to 1600 cm<BR>\n" );
document.write( "A right triangle is formed ABP<BR>\n" );
document.write( "Find the angle at A: 180 - 90 - 71 = 19 degrees<BR>\n" );
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document.write( "Another right triangle is formed by the rope. QBP<BR>\n" );
document.write( "Find the distance (d,the hypotenuse) from the base of the ladder to the base of the wall(BP)<BR>\n" );
document.write( "sin(71) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2Fd ALIGN=MIDDLE  ALT=\"1600%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2Fsin%2871%29 ALIGN=MIDDLE  ALT=\"1600%2Fsin%2871%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 1692 cm from the base of the ladder to the wall.<BR>\n" );
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document.write( "Find the length (L) (the hypotenuse) of the ladder using the sine of 19 degrees<BR>\n" );
document.write( "sin(19) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1692%2FL ALIGN=MIDDLE  ALT=\"1692%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1692%2Fsin%2819%29 ALIGN=MIDDLE  ALT=\"1692%2Fsin%2819%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = 5197 cm is the length of the ladder, AB<BR>\n" );
document.write( "Find the height (h) using the tangent of 19 degrees<BR>\n" );
document.write( "tan(19) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1692%2Fh ALIGN=MIDDLE  ALT=\"1692%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1692%2Ftan%2819%29 ALIGN=MIDDLE  ALT=\"1692%2Ftan%2819%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 4914 cm is height to point on the wall, AP<BR>\n" );
document.write( "  </SPAN>\n" );
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