<?xml version="1.0" encoding="UTF-8"?>
<problem xmlns="http://geocentral.net">
<version>3.1</version>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>This is a sample Geometria problem.</comments>
</envelope>
<text>Find the angle between diagonal GI and face GEF.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Pyramid</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>0.9590909090909091 0.0 0.06680426571226851</coords>
</point>
<point>
<label>E</label>
<coords>0.10909090909090911 0.0 1.4548484532894026</coords>
</point>
<point>
<label>F</label>
<coords>-0.7193181818181819 0.2500000000000001 -0.05010319928420138</coords>
</point>
<point>
<label>G</label>
<coords>0.19181818181818167 -0.8 0.013360853142453692</coords>
</point>
<point>
<label>I</label>
<coords>-0.03820554445554441 0.7184065934065934 -0.0026611589363403627</coords>
</point>
</points>
<lines>
<line>
<labels>
<label>I</label>
<label>G</label>
</labels>
</line>
</lines>
</solid>
<camera>
<attitude>-0.4798297595615975 -0.32224010172017575 -0.44285261288914507 0.6854241620629429</attitude>
</camera>
</figure>
</figures>
<answer>
<type>number</type>
<value>0.5257979616172234</value>
</answer>
</problem>