Show the height of the mountain climbed by the climber with the maximum points.
CREATE TABLE mountain (
    mountain_id number,
    name text,
    height number,
    prominence number,
    range text,
    country text
)

CREATE TABLE climber (
    climber_id number,
    name text,
    country text,
    time text,
    points number,
    mountain_id number
)
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
Below are sql tables schemas paired with instruction that describes a task. Using valid SQLite, write a response that appropriately completes the request for the provided tables. ### Instruction: Show the height of the mountain climbed by the climber with the maximum points. ### Input: CREATE TABLE mountain (
    mountain_id number,
    name text,
    height number,
    prominence number,
    range text,
    country text
)

CREATE TABLE climber (
    climber_id number,
    name text,
    country text,
    time text,
    points number,
    mountain_id number
) ### Response: 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