document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210462>Question 210462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. a rope 17 m long is attached to the top of a flagpole. The rope is just able to reach a point on the ground 8 m from the base of the pole. Find the height of the flagpole. \r<BR>\n" );
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document.write( "2.a vertical pole 3 m long casts a shadow 1 m long at the same time a building casts a shadow 12 m long. How tall is the building?\r<BR>\n" );
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document.write( "3.from the top of a 20 m lighthouse, the angle of depression of the nearest point on the beach is 8 degrees. Find the distance from the bottom of the lighthouse to the beach.\r<BR>\n" );
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document.write( "4. the diagonal of a square measures 9 radical 2 meters. Find the length of a side of the square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159080 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Use the Pythagorean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute c = 17, a = 8, and b = the height of the flagpole.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2+=+8%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"17%5E2+=+8%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+289+=+64%2Bb%5E2 ALIGN=MIDDLE  ALT=\"+289+=+64%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 84 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225+=+b%5E2 ALIGN=MIDDLE  ALT=\"225+=+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+=+b ALIGN=MIDDLE  ALT=\"15+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The flagpole is 15 meters high.<BR>\n" );
document.write( "2) Use the similar right triangles method: Let h = the building height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F1+=+h%2F12 ALIGN=MIDDLE  ALT=\"3%2F1+=+h%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+12%2A3 ALIGN=MIDDLE  ALT=\"h+=+12%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+36 ALIGN=MIDDLE  ALT=\"h+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >meters.<BR>\n" );
document.write( "3) Use the tangent function: Let d = the distance from the base of the lighthouse to the point on the beach.<BR>\n" );
document.write( "The tangent of the angle of depression (8 degs) is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%288%29+=+20%2Fd ALIGN=MIDDLE  ALT=\"tan%288%29+=+20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+20%2Ftan%288%29 ALIGN=MIDDLE  ALT=\"d+=+20%2Ftan%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+142.31 ALIGN=MIDDLE  ALT=\"d+=+142.31\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters.<BR>\n" );
document.write( "4) Let the side of the square = s, then, using the Pythagorean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289sqrt%282%29%29%5E2+=+s%5E2%2Bs%5E2 ALIGN=MIDDLE  ALT=\"%289sqrt%282%29%29%5E2+=+s%5E2%2Bs%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2A%282%29+=+2s%5E2 ALIGN=MIDDLE  ALT=\"81%2A%282%29+=+2s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81+=+s%5E2 ALIGN=MIDDLE  ALT=\"81+=+s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+9 ALIGN=MIDDLE  ALT=\"s+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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