document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159349>Question 1159349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The posts of a hockey goal are 2.0 m apart.  A player attempts to score by shooting the puck along the ice from a point 12.0 m from one post and 10.1 m from the other.  Within what angle theta must the shot be made?  Round your answer to the nearest degree </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782366 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=782366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Diagram<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" width=\"35%\" src = \"https://i.imgur.com/01Kilk3.png\"><BR>\n" );
document.write( "Points A and B are the goal posts<BR>\n" );
document.write( "Point C is the player's position<BR>\n" );
document.write( "Angle C = theta is the angle in which sweeps out the possible places to shoot the puck in between the goal posts\r<BR>\n" );
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document.write( "Use the law of cosines to find angle C<BR>\n" );
document.write( "c^2 = a^2 + b^2 - 2*a*b*cos(C)<BR>\n" );
document.write( "(2)^2 = (10.1)^2 + (12)^2 - 2*(10.1)*(12)*cos(C)<BR>\n" );
document.write( "4 = 102.01 + 144 - 242.4*cos(C)<BR>\n" );
document.write( "4 = 246.01 - 242.4*cos(C)<BR>\n" );
document.write( "246.01 - 242.4*cos(C) = 4<BR>\n" );
document.write( "-242.4*cos(C) = 4-246.01<BR>\n" );
document.write( "-242.4*cos(C) = -242.01<BR>\n" );
document.write( "cos(C) = -242.01/(-242.4)<BR>\n" );
document.write( "cos(C) = 0.99839108910891  approximately<BR>\n" );
document.write( "C = arccos(0.99839108910891)<BR>\n" );
document.write( "C = 3.25058757974158 also approximate; make sure your calculator is in degree mode\r<BR>\n" );
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document.write( "When rounding to the nearest whole number, we then get C = 3 degrees\r<BR>\n" );
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document.write( "Answer: 3 degrees<BR>\n" );
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