document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815433>Question 815433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a submarine traveling at 9.0 mph is descending at an angle of depression of 6 degrees. How many minutes, to the nearest tenth, does it take the submarine to reach a depth of 80 feet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490964 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=490964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we need the vertical velocity of the sub:<BR>\n" );
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document.write( "user vector addition:<BR>\n" );
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document.write( "the sub's descent velocity vector (d) is inclined 6 degrees from the horizontal and has magnitude 9 mph.<BR>\n" );
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document.write( "sin A = opp/hyp<BR>\n" );
document.write( "opp = magnitude of vertical velocity vector mag(v)<BR>\n" );
document.write( "hyp = magnitude of descent velocity vector mag(d)<BR>\n" );
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document.write( "sin(6 degrees) = mag(v) / mag(d)<BR>\n" );
document.write( "sin(6 degrees) = mag(v) / 9<BR>\n" );
document.write( "sin(6 degrees) * 9 = mag(v)<BR>\n" );
document.write( "mag(v) = 0.9407561 mph<BR>\n" );
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document.write( "s = d / t<BR>\n" );
document.write( "t = d / s<BR>\n" );
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document.write( "time to depth:<BR>\n" );
document.write( "t = 80 feet / (0.9407561 miles/hour * 5280 feet/mile * 1/60 hour/minute)<BR>\n" );
document.write( "t = 0.9663406 minutes<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "the sub will reach 80 feet of depth in 0.966 minutes or roughly 1.0 minute<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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