document.write( "Question 1189696: Graph the following points on the coordinate plane. Find the measure of ∠ DFE to the nearest hundredth.\r
\n" ); document.write( "\n" ); document.write( "D (4, 1), E (4, -2), F (-2, -2) \n" ); document.write( "
Algebra.Com's Answer #821138 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Graph:
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\n" ); document.write( "This is a right triangle with legs of
\n" ); document.write( "DE = 3
\n" ); document.write( "EF = 6
\n" ); document.write( "that represent the opposite and adajcent sides for the reference angle DFE (aka angle F)\r
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\n" ); document.write( "\n" ); document.write( "Use the tangent ratio to connect those two sides
\n" ); document.write( "tan(angle) = opposite/adjacent
\n" ); document.write( "tan(F) = DE/EF
\n" ); document.write( "tan(F) = 3/6
\n" ); document.write( "tan(F) = 0.5\r
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\n" ); document.write( "\n" ); document.write( "Then use the arctangent function, or inverse tangent to get
\n" ); document.write( "tan(F) = arctan(0.5)
\n" ); document.write( "F = arctan(0.5)
\n" ); document.write( "F = 26.56505
\n" ); document.write( "F = 26.57\r
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\n" ); document.write( "\n" ); document.write( "Angle DFE is approximately 26.57 degrees
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