document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043922>Question 1043922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 50 miles apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87 degrees and 84 degrees, respectively.\r<BR>\n" );
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document.write( "(a) How far is the satellite from station A?<BR>\n" );
document.write( "(b) How high is the satellite above the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659126 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=659126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make this drawing described:<BR>\n" );
document.write( "Horizontal segment BA, point S slightly to the right of A and above it.<BR>\n" );
document.write( "Interior angle at B is 84 degrees; interior angle at A is 87 degrees. Segment BA is 50 miles.\r<BR>\n" );
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document.write( "Sum of interior angles of triangle BAS will give measure of interior angle at S is 9 degrees.\r<BR>\n" );
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document.write( "One of the questions means, find measure of AS.  This can be done using Law Of Sines.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sine%289%29%2F50=sine%2884%29%2FAS ALIGN=MIDDLE  ALT=\"sine%289%29%2F50=sine%2884%29%2FAS\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve this for the value of measure of AS.\r<BR>\n" );
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document.write( "Distance from S to LINE BA is a little more complicated.<BR>\n" );
document.write( "Start by extending the segment from point A along line BA; draw perpendicular segment from S to line BA.  You want this distance.  Call this some variable, maybe, y.\r<BR>\n" );
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document.write( "You now have a smaller, RIGHT Triangle of sides AS (which you found now), height y, new angle at angle A being 93 degrees; and you want to solve for y.  Understand too, AS is hypotenuse, and is opposite a right angle.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AS%2Asin%2893%29=y ALIGN=MIDDLE  ALT=\"AS%2Asin%2893%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (although not the only way...)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=AS%2Asin%2893%29 ALIGN=MIDDLE  ALT=\"y=AS%2Asin%2893%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=50%28sine%2884%29%2Fsine%289%29%29sine%2893%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=50%28sine%2884%29%2Fsine%289%29%29sine%2893%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which you can simplify and compute.<BR>\n" );
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