document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030252>Question 1030252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking stations A and B, which are 85 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively. (Round your answers to the nearest mile.)\r<BR>\n" );
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document.write( "(a) How far is the satellite from station A?<BR>\n" );
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document.write( "Answer: _______mi\r<BR>\n" );
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document.write( "(b) How high is the satellite above the ground?<BR>\n" );
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document.write( "Answer: _______mi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645145 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "The problem can be solved by<BR>\n" );
document.write( "using a triangle to depict the <BR>\n" );
document.write( "positions of the Tracking stations<BR>\n" );
document.write( "and the satellite.<BR>\n" );
document.write( "Tracking stations A and B are the <BR>\n" );
document.write( "opposite ends of the base of the triangle.<BR>\n" );
document.write( "The satellite is at C the apex of the triangle.<BR>\n" );
document.write( "The angle at C is = 180 - (87 + 84.2)<BR>\n" );
document.write( "The angle at C is 8.8 degrees.<BR>\n" );
document.write( "Using Sine rule<BR>\n" );
document.write( "AC = side b<BR>\n" );
document.write( "BC = side a<BR>\n" );
document.write( "AB = side c<BR>\n" );
document.write( "To find distance between satellite<BR>\n" );
document.write( "and Station A:-<BR>\n" );
document.write( "b/SinB = c/SinC<BR>\n" );
document.write( "b/Sin(84.2) = 85/Sin(8.8)<BR>\n" );
document.write( "b = 85 x sin(84.2)/sin(8.8)<BR>\n" );
document.write( "b = 552.76<BR>\n" );
document.write( "b = 553 miles<BR>\n" );
document.write( "This is how far the satellite is<BR>\n" );
document.write( "from Station A.<BR>\n" );
document.write( "Now, draw a line down from C to<BR>\n" );
document.write( "the base of the triangle.<BR>\n" );
document.write( "This represents the height of<BR>\n" );
document.write( "the satellite above the ground.<BR>\n" );
document.write( "Where the line from C touches<BR>\n" );
document.write( "the base we name point Y<BR>\n" );
document.write( "We now have a right angled<BR>\n" );
document.write( "triangle CYA.<BR>\n" );
document.write( "&#8736;A = 87 degrees<BR>\n" );
document.write( "&#8736;Y = 90 degrees<BR>\n" );
document.write( "AC now the hypotenuse = 553 miles.<BR>\n" );
document.write( "Using Trigonometric ratios:-<BR>\n" );
document.write( "Sin = Opposite/Hypotenuse<BR>\n" );
document.write( "Sin(87) = Opposite/553<BR>\n" );
document.write( "Opposite = Sin(87) x 553<BR>\n" );
document.write( "Opposite = 552 miles<BR>\n" );
document.write( "This is the height of the satellite<BR>\n" );
document.write( "above the ground.<BR>\n" );
document.write( "Sorry so long winded!<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
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