Listen bro, I know you're bald. I could tell you were losing your hair when you wore your cap backwards. No one has a forehead that is that high up! Do you think wearing a cap backwards makes you look younger or cooler? I'm no where near your age and it looks just as silly on me. I noticed your buddy was also wearing a baseball cap when he was working out. Does he have something to hide too? I know its hot in Florida and I also wear a hat for protection... but its a no no indoors. If you're that concerned over having your skin burned, then put you gym towel over your head when you are walking towards the entrance.
I just don't understand why you two would go to such lengths as to hide your baldness. You know that wearing a hat inside instantly draws attention to you. Why? cause very few people do it... I've been there fellas, I know what it feels like to not like the hair on your head. But if you two want to look younger and feel better about yourselves (and I assume you guys do because you certainly want your physiques to be in top shape) then go ahead and lose the hat and the hair.
A lot of cool people are bald and they are happy and they are full of confidence. You can find them all over this place. But in case you're still afraid to make the change, here is some inspiration. Check out this man and how much better he looks after he took the plunge.