SOLUTION: the line y=3x creates an acute angle theta when it crosses the x axis. Find the exact value of sin theta.

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Question 448717: the line y=3x creates an acute angle theta when it crosses the x axis. Find the exact value of sin theta.
Answer by lwsshak3(11628) About Me  (Show Source):
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the line y=3x creates an acute angle theta when it crosses the x axis. Find the exact value of sin theta
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y=3x
This is a straight line with slope=3, and passing thru the origin (0,0)
we are working with a right triangle with legs of 3(opposite side) and 1(adjacent side)
Its hypotenuse=sqrt(3^2+1^2)=√10
sin theta=3/√10