Because my child became taller, there are more amusement rides that she/he can ride on now.
My child's height grew, so he/she can go on a variety of amusement rides now.
ご質問ありがとうございます。
① "Because my child became taller,"=「子供の背が伸びたので」
"there are more amusement rides that she/he can ride on now."=「子供が乗れるアトラクションがもっとあります。」
② "My child's height grew,"=「子供の身長が伸びました」
"so he/she can go on a variety of amusement rides now."=「なので、子供はいろいろなアトラクションに乗れるようになりました。」
ご参考に。