document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103846>Question 1103846</A>: <I><SPAN STYLE=\"word-break: break-all;\">  It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane. Suppose that a plane is traveling directly toward you at a speed of 220 mph and an altitude of 1,600 feet, and you hear the sound at what seems to be an angle of inclination of 26 degrees.<BR>\n" );
document.write( "At what angle should you actually look in order to see the plane? Assume the speed of sound is 1,100 ft/sec <BR>\n" );
document.write( "Thank you in advance for you help!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718557 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=718557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane.<BR>\n" );
document.write( " Suppose that a plane is traveling directly toward you at a speed of 220 mph and an altitude of 1,600 feet, and you hear the sound at what seems to be an angle of inclination of 26 degrees.<BR>\n" );
document.write( "At what angle should you actually look in order to see the plane? Assume the speed of sound is 1,100 ft/sec.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distance to plane where the sound originated. That is the hypotenuse (h) of a right triangle: <BR>\n" );
document.write( "Use the sine of 26 degrees<BR>\n" );
document.write( "sin(26) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2Fh ALIGN=MIDDLE  ALT=\"1600%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2Fsin%2826%29 ALIGN=MIDDLE  ALT=\"1600%2Fsin%2826%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 3650 ft<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find how long it take sound to travel 3650 ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3650%2F1100 ALIGN=MIDDLE  ALT=\"3650%2F1100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.32 seconds<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find how far the plane travels in 3.32 sec at 220 mph<BR>\n" );
document.write( "The plane travels <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.32%2A5280%2A220%29%2F3600 ALIGN=MIDDLE  ALT=\"%283.32%2A5280%2A220%29%2F3600\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1071.25 ft <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distance (d) to the point directly below the point of origin of the sound of the plane.<BR>\n" );
document.write( " Use tangent of 26 degree<BR>\n" );
document.write( "tan(26) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2Fd ALIGN=MIDDLE  ALT=\"1600%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2Ftan%2826%29 ALIGN=MIDDLE  ALT=\"1600%2Ftan%2826%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 3280.5 ft<BR>\n" );
document.write( "Find the distance to the point below the airplane after 3.32 sec<BR>\n" );
document.write( "3280.5 - 1071.25 = 2209.25 ft<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the angle (A) to the where the plane actually is after 3.32 sec<BR>\n" );
document.write( "tan(A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600%2F2209.25 ALIGN=MIDDLE  ALT=\"1600%2F2209.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 35.9 ~ 36 degrees is the angle where you should see the plane<BR>\n" );
document.write( " </SPAN>\n" );
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