document.write( "Question 456470: I'm pretty sure that trigonometry is needed for this problem, but I'm not totally sure!\r
\n" ); document.write( "\n" ); document.write( "The line 3y+x=10 intersects the circle x^2+y^2=50 in two distinct points. Suppose you drew a radius to each of the two points of intersection. Find the angle, in standard position, created by each radius.\r
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Algebra.Com's Answer #313290 by Edwin McCravy(20064) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm pretty sure that trigonometry is needed for this problem, but I'm not totally sure!\r
\n" ); document.write( "\n" ); document.write( "The line 3y+x=10 intersects the circle x^2+y^2=50 in two distinct points. Suppose you drew a radius to each of the two points of intersection. Find the angle, in standard position, created by each radius.\r
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document.write( "The other tutor's second angle is incorrect.  It should be 135°.\r\n" );
document.write( "He thought you wanted the angle between the two radii, not the\r\n" );
document.write( "angles in standard position.\r\n" );
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document.write( "First we'll find the two points where the line intersects the\r\n" );
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document.write( "Solve the first equation for x\r\n" );
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document.write( "Substitute in the second equation:\r\n" );
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document.write( "Divide through by 10\r\n" );
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document.write( "Factor\r\n" );
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document.write( "Use zero factor property:\r\n" );
document.write( " so \r\n" );
document.write( " so \r\n" );
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document.write( "To find the x-value correponding to each of those,\r\n" );
document.write( "substitute each y-value into \r\n" );
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document.write( "To find the x-value that corresponds to y=1 \r\n" );
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document.write( "Therefore one point of intersecion is (7,1).\r\n" );
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document.write( "To find the x-value that corresponds to y=5 \r\n" );
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document.write( "Therefore the other point of intersection is (5,-5).\r\n" );
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document.write( "We'll take each one separately:\r\n" );
document.write( "Let's erase everything except the radius on the right:\r\n" );
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document.write( "Let's draw a perpendicular from the point (7,1) to the x-axis,\r\n" );
document.write( "and label the angle Ꮎ, indicated by the red counterclockwise arc.\r\n" );
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document.write( "That's one answer.   \r\n" );
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document.write( "Now let's erase everything except the radius on the leftt:\r\n" );
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document.write( "Let's draw a perpendicular from the point (7,1) to the x-axis,\r\n" );
document.write( "and label the angle Ꮎ, indicated by the red counterclockwise arc.\r\n" );
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document.write( "So the reference angle for Ꮎ is 45° degrees.\r\n" );
document.write( "And it's in the 2nd quadrant so we subtract from 180°\r\n" );
document.write( "and get 180°-45° = 135°\r\n" );
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document.write( "So the second angle is\r\n" );
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document.write( "Edwin

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