Question

5) The equation of a line is given
$\sqrt{3 \2} x + 1 \2y = 5$
Value of the angle (measured in the antidockwise
direction made by the line with the x-
axis (in degrees) is?​

Answer 1

The line is given by

» √3x/2 + y/2 = 5

To find:

The angle made by the line aniclockwise with positive x - axis.

Solution:

» tanØ = (-√3/2) / (1/2)

» tanØ = - √3

Therefore, Ø = 120⁰

Hence, the given line makes an angle of 120⁰ with positive x - axis.