document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926488>Question 926488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height h (x) in centimetres of the tooh of a blade on a road-saw as it rotates x degrees is given by the function:  h(x( = 60 sinx + 10<BR>\n" );
document.write( "a) what is the diameter of the blade?<BR>\n" );
document.write( "b) what is the maximum dept of the cut made by the blade?<BR>\n" );
document.write( "c) what is the depth of the cut made by a blade (correct to the nearest tenth of a cm) when it has rotated<BR>\n" );
document.write( "1) 30 degrees 2) 135 degrees 3) 240 degrees.\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562277 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=562277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height h (x) in centimetres of the tooh of a blade on a road-saw as it rotates x degrees is given by the function:  h(x) = 60 sinx + 10<BR>\n" );
document.write( "a) what is the diameter of the blade?<BR>\n" );
document.write( "120 cm<BR>\n" );
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document.write( "b) what is the maximum dept of the cut made by the blade?<BR>\n" );
document.write( "50 cm<BR>\n" );
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document.write( "c) what is the depth of the cut made by a blade (correct to the nearest tenth of a cm) when it has rotated<BR>\n" );
document.write( "1) 30 degrees 2) 135 degrees 3) 240 degrees.<BR>\n" );
document.write( "Angles measured from where?  The direction of rotation shoule be stated, too.<BR>\n" );
document.write( "You can sub the angles into the function, but it's not clear without a reference starting point.<BR>\n" );
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document.write( "Doing this implies the angles are measured from the horizontal.<BR>\n" );
document.write( " h(x) = 60sin(x) + 10<BR>\n" );
document.write( "h(30) = 60*0.5 + 10 = 40 cm<BR>\n" );
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document.write( "135 & 240 degrees are past the bottom of the cut --> depth = 60 + 10 = 70 cm<BR>\n" );
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document.write( "This problem is not well defined.  It's likely that the +10 cm is the diameter of the hub of the saw.<BR>\n" );
document.write( "No reference angle is given.  If the angles are those of the x-y plane, then the tooth would be in the air at 30 degs and at 135 degs.<BR>\n" );
document.write( "The max depth would be 60 - 10 = 50 cm, not 70.  That implies the angles are measured from the vertical, a contradiction.<BR>\n" );
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document.write( "More info is needed.<BR>\n" );
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