You need the HM Strength, which is on the fifth level of the Lost tower. The Lost Tower is located between Solaceon Town and Hearthome City.
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You need the HM rock climb to enter lake acuity. But you can't use that HM until you defeat the gym leader Candice in snowpoint city. You can find HM rock climb on the way to snowpoint city just lying on the ground.
On your way to snowpoint city there is a house and behind it it will be there It's behind a hiker's house on the way to Snowpoint City.
in snowpoint city
On your way to Snowpoint city there will be a house with a hiker in it who says he lost his Rock Climb. Go behind the house and it will be there, and you get to keep it.
You need to complete the Pokemon league