Compute the angle between a line and a plane if the line forms the angles of 45 degrees and 60 degrees with two perpendicular lines lying in the plane

Question

Compute the angle between a line and a plane if the line forms the angles of 45 degrees and 60 degrees with two perpendicular lines lying in the plane.

I have no idea how to solve this exercise. I thought that since the line is crossing two lines which are lying in the plane, then the line has two point lying in the plane, and then the whole line lies in the plane and the angle between it and the plane is 0 degrees.

Answer 1

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