We have a line d and a point A.

We pass a line perpendicular to d passing through A called D.

Let H be any point on D.

Then can we place points B and C on d such that H

is the orthocenter of triangle ABC and the angle(BAC)=60 degrees?

If so, then how?

P.S. The question appears in a chapter for vector angles,

and inscribed angles, so these may be useful in solving

the problem.