document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042217>Question 1042217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sorry I had asked the same question before but by accidentally i wrote the wrong equation so i am rewriting the question. I am sorry!<BR>\n" );
document.write( "For a certain day, the depth of water, h, in metres in Tofino, B.C, at time t, in hours, is given by the formula:<BR>\n" );
document.write( "h(t)=7.8+3.5sin[pi/6(t-3)], tE[0,24]. Assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29m. (Give the answer in hours and minutes)\r<BR>\n" );
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document.write( "Also if you could please answer it step by step so I can fully understand how to answer the question.<BR>\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657169 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=657169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a certain day, the depth of water, h, in metres in Tofino, B.C, at time t, in hours, is given by the formula:<BR>\n" );
document.write( "h(t)=7.8+3.5sin[pi/6(t-3)], tE[0,24]. Assume t=0 represents midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29m. (Give the answer in hours and minutes)<BR>\n" );
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document.write( "Solve::<BR>\n" );
document.write( "7.8 + 3.5*sin((pi/6)(t-3) = 10.29<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "3.5*sin((pi/6)(t-3)) = 2.49<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sin((pi/6)(t-3)) = 0.711 <BR>\n" );
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document.write( "Take sin^-1 of both sides to get:<BR>\n" );
document.write( "(pi/6)(t-3) = 0.791+-(2pi*n)  or (pi/6)(t-3) = pi-0.7911  = 2.35+-(2pi*n)<BR>\n" );
document.write( "-----9<BR>\n" );
document.write( "t-3 =1.51+-(12) or (t-3) = 4.488+-(12)<BR>\n" );
document.write( "Since you want t E [0,24] t = 16.488 + 3 = 19.488 = 19 hr 0.488sec<BR>\n" );
document.write( "= 19hr +0.488*60min = 19hr 29min + 0.28(60)sec = 19hr 29min 17sec\r<BR>\n" );
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document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "  </SPAN>\n" );
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