document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203414>Question 1203414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small aircraft pilot flying towards two mountains in foggy conditions wants to map its position in comparison to two control towers. They discover the aircraft is on a true bearing of 143 degrees from tower A and on a true bearing of 075 degrees from tower B. Tower A is 25km north of tower B.\r<BR>\n" );
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document.write( "Determine the distance from the aircraft to each tower. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838979 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small aircraft pilot flying towards two mountains in foggy conditions wants to map its position in comparison to two control towers. They discover the aircraft is on a true bearing of 143 degrees from tower A and on a true bearing of 075 degrees from tower B. Tower A is 25km north of tower B.\r<BR>\n" );
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document.write( "Determine the distance from the aircraft to each tower.<BR>\n" );
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document.write( "Use P for the position of the plane, and A, B & P for the angles, and side a is opposite angle A, etc.<BR>\n" );
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document.write( "Angle A = 37 degs (180 - 143)<BR>\n" );
document.write( "Angle B = 75 degs<BR>\n" );
document.write( "Angle P = 68 degs (180 - (A + B))<BR>\n" );
document.write( "Side p = 25 km<BR>\n" );
document.write( "Use the Law of Sines to find sides a & b<BR>\n" );
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document.write( "a/sin(A) = p/sin(P)<BR>\n" );
document.write( "a = 25*sin(37)/sin(68)<BR>\n" );
document.write( "a = ~ 16.227 km, the distance to tower B<BR>\n" );
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document.write( "b/sin(B) = p/sin(P)<BR>\n" );
document.write( "b = 25*sin(75)/sin(68)<BR>\n" );
document.write( "b = ~ 26.045 km. the distance to tower A<BR>\n" );
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