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of the dangle?

of the bottom half. it's confusing, F_2...45 and 60 from x axis? y axis? it's not clear to me

these angles aren't suppose to be directional angles (alpha, beta, gamma) i don't think...

the top for sure aren't directional angles

This diagram is confusing... which angles do you need to find out?

Do you get that the angle at the top right indicated as 45 degrees is for the z plane?

they should be angles of the projection of the force vector judging from the top image.

right but it wouldn't make sense since 45+60>90

What do you mean by angles of projection?

The object is dangling As EdgeOfThe Earth has pointed out so it would need all three XD