document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449093>Question 449093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A baseball diamond is a square 90ft on a side. The pitcher's mound is 60.5ft from home plate. How far it from the 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 #308987 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C0%2C10%2C0%2C10%2C%0D%0A%0D%0A%0D%0Atriangle%282%2C2%2C8%2C8%2C2%2C6%29%2C%0D%0Alocate%282%2C2%2CH%29%2C%0D%0Alocate%288%2C8%2CB%29%2C%0D%0Alocate%282%2C6%2CP%29%0D%0A%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Suppose H = home plate, B = 1st base, P = pitcher's mound. We have the lengths HB = 90, HP = 60.5. Also, angle PHB = pi/4. From the law of cosines,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE BP^2 = HB^2 + HP^2 - 2(HB)(HP)\cos(\frac{\pi}{4})\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Replace all the values of HB, HP, etc. to find BP. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );