document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630723>Question 630723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are on a salvage ship in the Gulf of Mexico. Your sonar system has located a sunken Spanish galleon at a slant distance of 68.3 meters from your ship, with an angle of depression of 27°52&#8242;. <BR>\n" );
document.write( "	a)   How deep is the water at the galleon’s location?<BR>\n" );
document.write( "	b)   How far must you sail to be directly above the galleon?<BR>\n" );
document.write( "	c)   You sail directly toward the spot over the galleon. When you have gone 520 meters, what should the angle of depression be?\r<BR>\n" );
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document.write( "i'm stuck with c. i got b, x=603.8m, then in c it says 520m, which is smaller than 604.8cm? how is it possible? or i have wrong interpretation?\r<BR>\n" );
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document.write( "pls. help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397096 by </B><A HREF=/tutors/aboutme.mpl?userid=rmnavalta><B>rmnavalta(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rmnavalta><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=rmnavalta><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I've corrected the given from 68.3 to 683meters.<br>\r<BR>\n" );
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document.write( "For the illustration please see this (placed on my fb profile)<BR>\n" );
document.write( "https://www.facebook.com/photo.php?fbid=3633779889920&set=a.1100830367765.2014805.1436862519&type=1&relevant_count=1&ref=nf\r<BR>\n" );
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document.write( "Solution:\r\n" );
document.write( "(a) Let d = depth of water @ galleon's location\r\n" );
document.write( " Use sine of angle of depression = opposite / hypotenuse.\r\n" );
document.write( " </PRE>  <BR>\n" );
document.write( "     sin 27°52&#8242;=d/683<BR>\n" );
document.write( "     d = 683sin 27°52&#8242;         ---> Multiply both sides by 683.<BR>\n" );
document.write( "     d = 319.24 meters               --->Ans. depth of water @ galleon's location<BR>\n" );
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document.write( "(b) Let x = distance the ship would sail to be directly above the galleon\r\n" );
document.write( " Use cosine of angle of depression = adjacent / hypotenuse.\r\n" );
document.write( " </PRE>  <BR>\n" );
document.write( "cos 27°52&#8242;=d/683<BR>\n" );
document.write( "     x = 683cos 27°52&#8242;         ---> Multiply both sides by 683.<BR>\n" );
document.write( "     x = 603.8 meters               --->Ans. distance the ship would sail to be directly above the galleon<BR>\n" );
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document.write( "(b) Let angle B = angle of depression of the galleon when the ship has gone 520 m\r\n" );
document.write( " Use tangent of angle of depression(angle B) = opposite / adjacent.\r\n" );
document.write( "  </PRE> <BR>\n" );
document.write( "tan (angle B) = d/x-520<BR>\n" );
document.write( "tan (angle B) = 319.24/(603.8-520)   &nbsp;&nbsp;&nbsp;      ---> Solved from (a)d=319.24 and (b)x=603.8<BR>\n" );
document.write( "(angle B) = arctan (319.24/83.8)     &nbsp;&nbsp;&nbsp;      ---> Get arctan of both sides.\r<BR>\n" );
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document.write( "(angle B) = 75.29° or 75°17&#8242;   &nbsp;      ---> Ans. angle of depression of the galleon when the ship has gone 520 m<BR>\n" );
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document.write( "Answers;<BR>\n" );
document.write( "(a) depth of water @ galleon's location = <font color=red>319.24 meters  </font> <BR>\n" );
document.write( "(b) distance the ship would sail to be directly above the galleon = <font color=red>603.8 meters</font><BR>\n" );
document.write( "(c) angle of depression of the galleon when the ship has gone 520 m=<font color=red> 75.29° or 75°17&#8242;</font><BR>\n" );
document.write( "God bless. Email me- rmnavalta@yahoo.com </SPAN>\n" );
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