Saturday, March 5, 2011

`(1, 2sqrt(3)), (0, sqrt(3))` Find the inclination 'theta' (in radians and degrees) of the line with slope m.

Given `(1, 2sqrt3),(0,sqrt3)`


Find the slope of the line using the formula


`m=(y_2-y_1)/(x_2-x_1)`


`m=(sqrt3-ssqrt3)/(0-1)=(-sqrt3)/-1=sqrt3`


` `The slope of the line is `sqrt3.`



Find the inclination.


`theta=arctan(sqrt3)=60^@=1.0472` radians.



The inclination is 60 degrees or 1.0472 radians.

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