document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888434>Question 888434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> as a balloon rises,its angle of elevation from a point A on level ground 140 m. from the pint B directly under the balloon changes from 30 degrees to 60 degrees .How far does the balloon rise during this period? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538325 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see the picture below.\r<BR>\n" );
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document.write( "check the comments below the picture.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/072702.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the picture shows the diagram of the situation as i understand it.\r<BR>\n" );
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document.write( "step 1 establishes that BC is equal to 140 * tan(30).\r<BR>\n" );
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document.write( "step 2 establishes that BD = 140 * tan(60).\r<BR>\n" );
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document.write( "step 3 goes through the calculations to find CD which is equal to BD minus BC.\r<BR>\n" );
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document.write( "you could have just used your calculator to find 140 * (tan(60) - tan(30)).\r<BR>\n" );
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document.write( "the extra calculations in step 3 were because I used the exact value of tan(30) and tan(60), the resolution of which required more calculations than using your calculator directly.\r<BR>\n" );
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document.write( "if you use your calculator, make sure it's in degree mode as you will get a very screwy answer if you have it in radian mode, since the angles are expressed in degrees.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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