Translate the following question to SQL: Show the height of the mountain climbed by the climber with the maximum points.

Schema: CREATE TABLE mountain (
    Mountain_ID INT   PRIMARY KEY,
    Name TEXT,
    Height REAL,
    Prominence REAL,
    Range TEXT,
    Country TEXT,
    UNIQUE (Mountain_ID)
);

CREATE TABLE climber (
    Climber_ID INT   PRIMARY KEY,
    Name TEXT,
    Country TEXT,
    Time TEXT,
    Points REAL,
    Mountain_ID INT,
    UNIQUE (Climber_ID),
    FOREIGN KEY (Mountain_ID) REFERENCES mountain(Mountain_ID)
);
user
SELECT T2.Height FROM climber AS T1 JOIN mountain AS T2 ON T1.Mountain_ID  =  T2.Mountain_ID ORDER BY T1.Points DESC LIMIT 1
assistant