document.write( "Question 567630: What is the angle between the horizontal (x) axis and the line containing the points (2,8) and (4,9)? \n" ); document.write( "

Algebra.Com's Answer #366652 by Edwin McCravy(20081) $\"\"$ $\"About$

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What is the angle between the horizontal (x) axis and the line containing the points (2,8) and (4,9)?
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document.write( "We observe that the angle q that the green line makes with the \r\n" );
document.write( "x-axis is the same size angle as the angle marked q in the little right\r\n" );
document.write( "triangle up where the two given points are.\r\n" );
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document.write( "In that little right triangle we see that the opposite side of q is \r\n" );
document.write( "1 unit long and the adjacent side to q is 2 units long, \r\n" );
document.write( "so we use the trig function that involves opposite and adjacent:\r\n" );
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document.write( "                 tan(q) = \r\n" );
document.write( "                 tan(q) =   \r\n" );
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document.write( "Use the inverse tangent fuction on the calculator and get\r\n" );
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document.write( "                 q = 26.56505118° = 26°33'54\"\r\n" );
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document.write( "I hope you observed that the tangent of that angle q is the slope\r\n" );
document.write( "of the green line.\r\n" );
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document.write( "Edwin

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