document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209079>Question 1209079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Overlay a rectangular coordinate system on a Little League baseball diamond so that the origin is at home plate, the positive x-axis lies in the direction from home plate to first base, and the positive y-axis lies in the direction from home plate to third base. \r<BR>\n" );
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document.write( "(a) What are the coordinates of first base, second base, and third base? Use feet as the unit of measurement. \r<BR>\n" );
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document.write( "(b) If the right fielder is located at (180,20), how far is it from the right fielder to second base? \r<BR>\n" );
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document.write( "(c) If the center fielder is located at (220,220), how far is it from the center fielder to third base? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848172 by </B><A HREF=/tutors/aboutme.mpl?userid=textot><B>textot(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=textot><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=848172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **a) Coordinates of Bases**\r<BR>\n" );
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document.write( "* **First Base:** (90 feet, 0 feet) <BR>\n" );
document.write( "* **Second Base:** (90 feet, 90 feet) <BR>\n" );
document.write( "* **Third Base:** (0 feet, 90 feet)\r<BR>\n" );
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document.write( "**b) Distance from Right Fielder to Second Base**\r<BR>\n" );
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document.write( "* Right Fielder: (180, 20)<BR>\n" );
document.write( "* Second Base: (90, 90)\r<BR>\n" );
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document.write( "* **Distance Formula:** <BR>\n" );
document.write( "    * Distance = √[(x2 - x1)² + (y2 - y1)²] \r<BR>\n" );
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document.write( "* **Calculate Distance:**<BR>\n" );
document.write( "    * Distance = √[(90 - 180)² + (90 - 20)²] <BR>\n" );
document.write( "    * Distance = √[(-90)² + (70)²] <BR>\n" );
document.write( "    * Distance = √(8100 + 4900) <BR>\n" );
document.write( "    * Distance = √13000 <BR>\n" );
document.write( "    * Distance ≈ 114 feet\r<BR>\n" );
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document.write( "**c) Distance from Center Fielder to Third Base**\r<BR>\n" );
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document.write( "* Center Fielder: (220, 220)<BR>\n" );
document.write( "* Third Base: (0, 90)\r<BR>\n" );
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document.write( "* **Calculate Distance:**<BR>\n" );
document.write( "    * Distance = √[(0 - 220)² + (90 - 220)²] <BR>\n" );
document.write( "    * Distance = √[(-220)² + (-130)²] <BR>\n" );
document.write( "    * Distance = √(48400 + 16900) <BR>\n" );
document.write( "    * Distance = √65300 <BR>\n" );
document.write( "    * Distance ≈ 255.54 feet\r<BR>\n" );
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document.write( "**In summary:**\r<BR>\n" );
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document.write( "* **First Base:** (90, 0)<BR>\n" );
document.write( "* **Second Base:** (90, 90)<BR>\n" );
document.write( "* **Third Base:** (0, 90)<BR>\n" );
document.write( "* **Distance from Right Fielder to Second Base:** ≈ 114 feet<BR>\n" );
document.write( "* **Distance from Center Fielder to Third Base:** ≈ 255.54 feet<BR>\n" );
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