Find the angle between the line and the plane

Equation of line is


And the equation of the plane is



As we know that the angle θ between the line and a plane a2x + b2y + c2z + d2 = 0 is given by



Here, a1 = 1, b1 = 1 and c1 = 1


and a2 = 2, b2 = 3 and c2 = 4


The angle between them is given by



1