document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101621>Question 1101621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Michael is sitting on a Ferris wheel. He is exactly 30 feet from the center and is at the 3 o'clock position when the Ferris wheel begins moving. The bottom of the Ferris wheel is 6 feet above the ground. The Ferris wheel broke down within the first revolution of the ride when Michael was at the point (-9.22, -28.548). <BR>\n" );
document.write( "a. What is the measure of the angle (in radians) that has a vertex (0,0)<BR>\n" );
document.write( " and rays through the point (30,0) and (-9.22, -28.548)?     Theta=             Radians<BR>\n" );
document.write( "b. How many feet did Michael travel along the arc before stopping?                Feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716413 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The point (-9.22, -28.548) is indeed a point on the circle with center (0,0) and radius 30; so the given information is valid.<br><BR>\n" );
document.write( "The reference angle for that point on the circle, measured to the \"negative y axis\" -- i.e., to the 9 o'clock position -- has a sine of 28.548/30 and a cosine of 9.22/30.<BR>\n" );
document.write( "Using either inverse function shows the reference angle is 1.2584 radians.<BR>\n" );
document.write( "The angle through which Michael travels in radians is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi-1.2584+=+1.8832 ALIGN=MIDDLE  ALT=\"pi-1.2584+=+1.8832\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "That is the answer to part (a): 1.8832 radians.<br><BR>\n" );
document.write( "The arc length that Michael traveled is simply the radian measure multiplied by the radius, which is 30: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8832%2A30+=+56.496 ALIGN=MIDDLE  ALT=\"1.8832%2A30+=+56.496\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );