document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622174>Question 622174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a day with no wind, a hot-air balloon hovers at a point above a long, straight river. On the west side of the balloon a sailboat is spotted in the river at an angle of depression of 48 degrees. On the east side, a canoe spots the balloon at an angle of inclination of 29 degrees. The distance between the balloon and the canoe is 650 m.\r<BR>\n" );
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document.write( "a) What is the height of the balloon?<BR>\n" );
document.write( "b) What is the distance between the balloon and the sailboat?<BR>\n" );
document.write( "c) What is the distance between the sailboat and the canoe?\r<BR>\n" );
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document.write( "I really need help, thanks in advance!\r<BR>\n" );
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document.write( "Im not sure if I am solving this correctly but this is what I have done:\r<BR>\n" );
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document.write( "Sin 29 = h/650<BR>\n" );
document.write( "650 x sin 29 = 315.1\r<BR>\n" );
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document.write( "Therefore the height of the balloon is 315.1 m.\r<BR>\n" );
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document.write( "B) Sin 48 = h/650<BR>\n" );
document.write( "650 x sin 48 = 483.0\r<BR>\n" );
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document.write( "Therefore the distance between the balloon and the sailboat is 483m\r<BR>\n" );
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document.write( "C) 650 + 483 = 1133\r<BR>\n" );
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document.write( "Therefore the distance between the sailboat and the canoe is 1133 m<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 #391161 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=391161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you draw everything out, you'll get something like this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/6-19-20123-44-11PM.png\">\r<BR>\n" );
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document.write( "Note: the missing angle (up at the top) is 103 degrees since 103+29+48 = 180\r<BR>\n" );
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document.write( "You're given \"The distance between the balloon and the canoe is 650 m\", so you can say s = 650\r<BR>\n" );
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document.write( "This means that\r<BR>\n" );
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document.write( "sin(angle) = opp/hyp\r<BR>\n" );
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document.write( "sin(29) = h/s\r<BR>\n" );
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document.write( "sin(29) = h/650\r<BR>\n" );
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document.write( "h  = 650*sin(29)\r<BR>\n" );
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document.write( "h = 315.126\r<BR>\n" );
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document.write( "So you have the right answer.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "sin(48) = opp/hyp\r<BR>\n" );
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document.write( "sin(48) = h/r\r<BR>\n" );
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document.write( "sin(48) = 315.126/r\r<BR>\n" );
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document.write( "r = 315.126/sin(48)\r<BR>\n" );
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document.write( "r = 424.0438\r<BR>\n" );
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document.write( "So the distance between the balloon and the sailboat is about 424.0438 m\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "In this part, use the tangent function to find the values of 'x' and 'y' (see the drawing above). Then add up x and y to get the total distance between the sailboat and the canoe.<BR>\n" );
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