I share BodyBuilder's perspective.
I'm his same height (almost 5 feet 9), and I'm deep into dating and "seduction". Well, what I came to understand after years of wins and losses is that attraction clues all lead to aesthetics, directly or indirectly.
Height might be not enough, but makes everything easier.
You can surely argue that behaviour and attitude are major triggers for attraction, and I agree. But.. If we go back in time, let's say 40k years ago, who do you think that displayed those attractive behavioral features like dominance, confidence, boldness?
The bigger ones or the little?
What if one of the shortest in the "pack" tried to take the lead from the biggest? Who had more chances to win the fight?
Attitude is something that was usually "linked" to the fittest, so the brain evolved in ways that make ladies feel attraction for those behaviors.
Height, in dating and relationship, matters. A lot.
It's not all, but has two effects:
1) Enlarge dramatically your dating pool (taller girls, and sexier ones with higher "standards")
2) Makes everything easier. Provided you have decent looks, you passively attract girls. You don't need to "act", you automatically display dominance with your presence.
You can get hot girls even being average or below average. I am a bit below average, and I had some hot girls. But man, it's harder. You need to put in more work, and I clearly see (and they even told me) how some girls reject you for not being tall enough.
This is not a complaint. This is just the plain truth. You can believe it or not, just go out and experiment. Buy lifts, see how things change as you get "taller".
Easier. Height makes everything easier.
An there's no need to be very tall. Just above average.