Question

if slope of a line is root3 then the angle made by the line with X-axis in positive direction is=

Answer 1

Angle is 30degrees as m=Tan tita and tan 30 degrees =root3

Answer 2

Answer:

The angle made by the line with x-axis in positive direction is 60°

Step-by-step explanation:

Given that

$\text{The slope of line is }\sqrt3$

we have to find the  angle made by the line with X-axis in positive direction.

As we know the slope of line is the tangent of angle formed by the intersection of the line and the x-axis.  

$m=\tan \theta$

$As, slope=m=\sqrt3=\tan \theta$

$\theta=\tan^{-1}\sqrt3=\frac{\pi}{3}$

Therefore, the angle made by the line with x-axis in positive direction is 60°