document.write( "Question 284208: A line of slope 1/2 intersects a line of slope 3. Find the size of the acute angle that these lines form, to the nearest tenth of a degree. \n" ); document.write( "

Algebra.Com's Answer #206217 by stanbon(75887) $\"\"$ $\"About$

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A line of slope 1/2 intersects a line of slope 3. Find the size of the acute angle that these lines form, to the nearest tenth of a degree.
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\n" ); document.write( "Make of sketch of y = (1/2)x and of y = 3x
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\n" ); document.write( "y = (1/2)x has points (x,x/2)
\n" ); document.write( "tan(angle made with positive x axis) = (1/2)/1 = 1/2
\n" ); document.write( "Angle made with positive x axis = tan^-1(1/2) = 26.5 degrees
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\n" ); document.write( "y = 3x has points (x,3x)
\n" ); document.write( "t(angle made with positive x axis) = 3
\n" ); document.write( "Angle made with positive x axis = tan^-1(3) = 71.57
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\n" ); document.write( "Angle between the lines is 71.57-26.5 = 45.1 degrees
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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