document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=956128>Question 956128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pee wee baseball diamond is a square, each side being 60 ft. long. The pitchers mound is 40 ft. from home plate. How far is the pitchers mound to first base? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584121 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=584121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pee wee baseball diamond is a square, each side being 60 ft. long. The pitchers mound is 40 ft. from home plate. How far is the pitchers mound to first base?<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "Sketch a line from pitcher's mound to 1st base; Label it \"a\".<BR>\n" );
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document.write( "The angle at home plate is 45 degrees. ; Label it \"A\".<BR>\n" );
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document.write( "Let the side from home to pitcher's mound be \"p\"<BR>\n" );
document.write( "Let the side from home to 1st base be \"b\"<BR>\n" );
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document.write( "Use the Law of Cosines to get:<BR>\n" );
document.write( "a^2 = b^2 + p^2 - 2*b*p*Cos(A)<BR>\n" );
document.write( "a^2 = 60^2 + 40^2 - 2*60*40*(sqrt(2))/2<BR>\n" );
document.write( "a^2 = 3600 + 1600 - 2400sqrt(2)<BR>\n" );
document.write( "a^2 = 5200 - 2400sqrt(2)<BR>\n" );
document.write( "a^2 = 1805.89<BR>\n" );
document.write( "a = 42.5 ft<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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