Question

The angle between x=2 and x-3y=6

Answer 1

3y = x - 6 

y = (1/3) x - 2 

Gradient m = 1/3 

tan Ө = 1/3 

Ө = 18.4⁰ is angle with horizontal 

71.6⁰ is angle with vertical

Answer 2

Answer:

Step-by-step explanation:

Since, x=2 is parallel to y-axis.

So, the angle between the line x=2 and x−3y=6 is the angle between x−3y=6 and y-axis which is given by:

tan(θ)=∣∣1m∣∣ where m is the slope of the line x−3y=6.

Consider the line x−3y=6,

−3y=6−xy=x−63=x3−2

Slope of the line x−3y=6 is 13.

Therefore, tan(θ)=∣∣∣113/∣∣∣=|3|

⇒θ=tan−1(3)=71.565°