'High Places' in the Bible

They went up to the idols' house, even to Dibon to the high places, to weep for Nebo; and Moab did mourn for Medeba. All their heads were bald, and all their beards shaven.

But if thou wouldest say unto me: 'We trust in the LORD our God': is not he that God whose High places and altars Hezekiah took down, and commanded Judah and Jerusalem to worship only before this altar?