﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
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  <settings>
    <identity>
      <id>3e788fdc-fedd-42f1-962a-27f6c2d8207d</id>
      <revision>9</revision>
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    <calculation>
      <precision>15</precision>
      <exponentialThreshold>12</exponentialThreshold>
      <fractions>decimal</fractions>
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    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="0" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="49" bottom="49" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
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    <dependencies>
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  <region id="0" left="18" top="9" width="51" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">s</e>
        <e type="operand">25</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="198" top="18" width="249" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Height of source and receiver</p>
    </text>
  </region>
  <region id="2" left="18" top="27" width="51" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">t</e>
        <e type="operand">25</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="18" top="54" width="109" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">δdegrees</e>
        <e type="operand">45</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="18" top="72" width="137" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">δ</e>
        <e type="operand">δdegrees</e>
        <e type="operand">π</e>
        <e type="operand">180</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="18" top="108" width="95" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">a</e>
        <e type="operand">s</e>
        <e type="operand">δ</e>
        <e type="function" preserve="true" args="1">tan</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
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  <region id="6" left="27" top="126" width="51" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">c</e>
        <e type="operand">50</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="207" top="126" width="372" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Horizontal separation of source and receiver</p>
    </text>
  </region>
  <region id="8" left="18" top="153" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
      </input>
      <result action="numeric">
        <e type="operand">25</e>
      </result>
    </math>
  </region>
  <region id="9" left="36" top="180" width="113" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">b</e>
        <e type="operand">c</e>
        <e type="operand">a</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">25</e>
      </result>
    </math>
  </region>
  <region id="10" left="36" top="225" width="218" height="39" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">t</e>
        <e type="function" args="1">L</e>
        <e type="operand">t</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">b</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">s</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="342" top="243" width="281" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Plot L as a function of δdegrees.</p>
    </text>
  </region>
  <region id="12" left="342" top="261" width="324" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>δdegrees = 0 to 60 in increments of .1 </p>
    </text>
  </region>
  <region id="13" left="45" top="279" width="379" height="210" color="#000000" bgColor="#ffffff">
    <picture>
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        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
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    <math>
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        <e type="function" args="1">F</e>
        <e type="operand">x</e>
        <e type="operand">25</e>
        <e type="operator" args="2">-</e>
        <e type="operand">25</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">50</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">25</e>
        <e type="operator" args="2">+</e>
        <e type="operand">0</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">25</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand" style="string" />
        <e type="function" preserve="true" args="5">cases</e>
        <e type="operator" args="2">:</e>
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    </math>
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  <region id="17" left="45" top="576" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.135085171767299" scale_y="0.135085171767299" scale_z="0.135085171767299" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand">25</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">25</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="18" left="369" top="630" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.257917572334414" scale_y="0.257917572334414" scale_z="0.257917572334414" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-49" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">F</e>
        <e type="operand">25</e>
        <e type="operand">10</e>
        <e type="operand">25</e>
        <e type="operand">10</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand" style="string">.</e>
        <e type="operand">20</e>
        <e type="operand" style="string">black</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">50</e>
        <e type="operand">100</e>
        <e type="operand">50</e>
        <e type="operand">10</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">0</e>
        <e type="operand">25</e>
        <e type="operand" style="string">+</e>
        <e type="operand">20</e>
        <e type="operand" style="string">red</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
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  <region id="19" left="405" top="639" width="23" height="28" color="#ffff00" bgColor="#010101" fontSize="12">
    <text lang="eng">
      <p bold="true">s</p>
    </text>
  </region>
  <region id="20" left="567" top="639" width="23" height="28" color="#ffff00" bgColor="#010101" fontSize="12">
    <text lang="eng">
      <p bold="true">t</p>
    </text>
  </region>
  <region id="21" left="594" top="675" width="81" height="81" color="#ffff00" bgColor="#010101" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operand">s</e>
        <e type="operand">t</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">25</e>
        <e type="operand">25</e>
        <e type="operand">25</e>
        <e type="operand">25</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="22" left="459" top="711" width="25" height="31" color="#ffff00" bgColor="#010101" fontSize="14">
    <text lang="eng">
      <p bold="true">a</p>
    </text>
  </region>
  <region id="23" left="522" top="711" width="25" height="31" color="#ffff00" bgColor="#010101" fontSize="14">
    <text lang="eng">
      <p bold="true">b</p>
    </text>
  </region>
  <region id="24" left="18" top="765" width="61" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">0</e>
        <e type="operand">25</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="25" left="108" top="765" width="61" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Y</e>
        <e type="operand">25</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="26" left="27" top="837" width="171" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="2">Intercept</e>
      </input>
      <result action="numeric">
        <e type="operand">25</e>
      </result>
    </math>
  </region>
  <region id="27" left="27" top="873" width="139" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="2">Slope</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="28" left="27" top="909" width="101" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">25</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="29" left="27" top="936" width="51" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">25</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="30" left="126" top="945" width="73" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="31" left="27" top="990" width="61" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">25</e>
        <e type="operand">50</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="32" left="117" top="990" width="61" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Y</e>
        <e type="operand">0</e>
        <e type="operand">25</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="33" left="36" top="1062" width="180" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="2">Intercept</e>
      </input>
      <result action="numeric">
        <e type="operand">25</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="34" left="36" top="1098" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="2">Slope</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
</regions>