document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212387>Question 212387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane is flying at a speed of 350mi/h at an altitude of one mile and passes directly over a radar station at time t=0.  1. Express the horiztonal distance d (in miles) that the plane has flown as a function of t (I got d=350t) Express the distance s between the plane and the radar station as a function of d. Please help.    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160643 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An airplane is flying at a speed of 350mi/h at an altitude of one mile and passes directly over a radar station at time t=0.  1. Express the horizontal distance d (in miles) that the plane has flown as a function of t (I got d=350t) Express the distance s between the plane and the radar station as a function of d. Please help.   \r<BR>\n" );
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document.write( "Step 1.  Let velocity v=350 mph, altitude = h = 1 at t=0, horizontal distance = d = 350t.\r<BR>\n" );
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document.write( "Step 2. To get s use Pythagorean Theorem:  Sum of the squares of the sides equals to the square of the hypotenuse which is s in this case where s is the distance between the plane and radar station.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2=d%5E2%2Bh%5E2 ALIGN=MIDDLE  ALT=\"s%5E2=d%5E2%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2=%28350t%29%5E2%2B1%5E2 ALIGN=MIDDLE  ALT=\"s%5E2=%28350t%29%5E2%2B1%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=sqrt%28%28350t%29%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"s=sqrt%28%28350t%29%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ANSWER terms of t\r<BR>\n" );
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document.write( "OR in terms of d\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=sqrt%28d%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"s=sqrt%28d%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ANSWER in terms of d\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.\r<BR>\n" );
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