document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998768>Question 998768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 19°. (Round your answers to the nearest foot.)<BR>\n" );
document.write( "(a) What is the distance between the plane and the base of the arch?<BR>\n" );
document.write( "(b) What is the distance between a point on the ground directly below the plane and the base of the arch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616553 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=arch\">\r<BR>\n" );
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document.write( "Sin 19 = 40000/distance\r<BR>\n" );
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document.write( "distance from plane to the arch = 40000/sin(19\r<BR>\n" );
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document.write( "=122862.139 ft\r<BR>\n" );
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document.write( "tan 19 = 40000/x\r<BR>\n" );
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document.write( "x= 40000/tan 19\r<BR>\n" );
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document.write( "= 116168.435 </SPAN>\n" );
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