document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195556>Question 1195556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 47° 30'. A second person standing 38.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.) <BR>\n" );
document.write( "https://www.webassign.net/mcktrig6/2-4-023.gif -picture of figure<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828085 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 47° 30'.<BR>\n" );
document.write( " A second person standing 38.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44° 10'.<BR>\n" );
document.write( " How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.) <BR>\n" );
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document.write( "Change 47 degrees 30 min to 47.5 degrees (divide the min by 60)<BR>\n" );
document.write( "Change 44 degrees 10 min to 44.17 degrees<BR>\n" );
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document.write( "Write a tangent equation for each right triangle<BR>\n" );
document.write( "tan(47.5) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Fx ALIGN=MIDDLE  ALT=\"h%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = tan(47.5)x<BR>\n" );
document.write( "and<BR>\n" );
document.write( "tan(44.17) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F%28%28x%2B38%29%29 ALIGN=MIDDLE  ALT=\"h%2F%28%28x%2B38%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = tan(44.17)(x+3)<BR>\n" );
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document.write( "h=h, therefore we can find x<BR>\n" );
document.write( "tan(47.5)x = tan(44.17)(x+38)<BR>\n" );
document.write( "tan(47.5)x = tan(44.17)x + 36.9<BR>\n" );
document.write( "tan(47.5)x - tan(44.17)x = 36.9<BR>\n" );
document.write( ".12x = 36.9<BR>\n" );
document.write( "x = 36.9/.12<BR>\n" );
document.write( "x = 307.5 ~ 308 ft, A is from the base of the tower<BR>\n" );
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