Question

Find the slope of a line whose inclination is

$i){60}^{\circ }$

$ii){30}^{\circ }$

$iii)\frac{5\pi }{6}$

Answer 1

a)

slope of the line = $tan\theta$

Where $\theta$ is the inclination

$\theta ={60}^{\circ }$

$m=tan\theta =tan{60}^o=\sqrt{3}$

b)

$\theta ={30}^{\circ }$

$m=tan\theta =tan{30}^o=\frac{1}{\sqrt{3}}$

c)

$\theta =\frac{5\pi }{6}$

$m=tan\theta =tan\frac{5\pi }{6}=0$