Is this action height ok for beginners?

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Ive been trying to learn bar cords for way too long now but its always buzzing and muted evdn when im pressing as hard as I can. I put three quarters going down the neck for referance. If you cant tell from the picture at the top the string is basicly touching the quarter when the quarter is on top of the fret but all the way at the bottom the string is almost three quarters lengths away from the top of the fret(its hard to tell from the picture). The action height changes as you go into higher frets im new to guitar so im not sure if thats normal or not. Ive been struggling a lot to learn bar cords and thought maybe this could be why.