Definitions of height:

• noun:   the vertical dimension of extension; distance from the base of something to the top
• noun:   natural height of a person or animal in an upright position
• noun:   elevation especially above sea level or above the earth's surface
• noun:   the highest level or degree attainable

  Example: "At the height of her career"

• name:  A surname (rare: 1 in 100000 families; popularity rank in the U.S.: #12040)