document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901783>Question 901783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A submarine captain discovered that his depth gauge was broken. To determine his depth, he used his sonar to find <BR>\n" );
document.write( "that he was directly between two ships on the surface. From the sub to one ship there was an angle of elevation of <BR>\n" );
document.write( "51.27°, while the angle of elevation to the other ship was 13.9°. What was the depth of the sub if the two ships were <BR>\n" );
document.write( "5000 feet apart?<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 #547016 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=547016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A submarine captain discovered that his depth gauge was broken. To determine his depth, he used his sonar to find <BR>\n" );
document.write( "that he was directly between two ships on the surface. From the sub to one ship there was an angle of elevation of <BR>\n" );
document.write( "51.27°, while the angle of elevation to the other ship was 13.9°. What was the depth of the sub if the two ships were <BR>\n" );
document.write( "5000 feet apart?<BR>\n" );
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document.write( "Draw the picture.  Let the depth be \"d\". Parts of the distance are x and 5000-x.<BR>\n" );
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document.write( "Equation::<BR>\n" );
document.write( "tan(38.73) = (5000-x)/d<BR>\n" );
document.write( "tan(76.1) = x/d<BR>\n" );
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document.write( "Work the algebra to solve for \"x\":<BR>\n" );
document.write( "x = (5000*tan(76.1))/(tan(38.73)+tan(76.1)<BR>\n" );
document.write( "x = 20204/4.84<BR>\n" );
document.write( "x = 4172 ft<BR>\n" );
document.write( "5000-x = 828 ft<BR>\n" );
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document.write( "Comment:: Now you can solve for \"d\".<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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