height vs rise

height

noun
  • The distance from the base of something to the top. 

  • The vertical distance from the ground to the highest part of a standing person or animal (withers in the case of a horse). 

  • The highest point or maximum degree. 

  • The distance of something above the ground or some other chosen level. 

  • A quality of vowels, indicating the vertical position of the tongue relative to the roof of the mouth; in practice, the first formant, associated with the height of the tongue. 

  • A mountain, especially a very high one. 

  • The amplitude of a sine function 

  • A high point. 

  • An area of land at the top of a cliff. 

rise

noun
  • The height of an arch or a step. 

  • An area of terrain that tends upward away from the viewer, such that it conceals the region behind it; a slope. 

  • The amount of material extending from waist to crotch in a pair of trousers or shorts. 

  • A small hill; used chiefly in place names. 

  • A very noticeable visible or audible reaction of a person or group. 

  • The process of or an action or instance of coming to prominence. 

  • An increase in a quantity, price, etc. 

  • The process of or an action or instance of moving upwards or becoming greater. 

verb
  • To become active, effective or operational, especially in response to an external or internal stimulus. 

  • To leave one's bed; to get up. 

  • To attain a higher status. 

  • To terminate an official sitting; to adjourn. 

  • To have its source (in a particular place). 

  • Of a quantity, price, etc., to increase. 

  • To develop. 

  • To become erect; to assume an upright position. 

  • To become more and more dignified or forcible; to increase in interest or power; said of style, thought, or discourse. 

  • To ascend on a musical scale; to take a higher pitch. 

  • To be resurrected. 

  • To swell or puff up in the process of fermentation; to become light. 

  • To slope upward. 

  • To become perceptible to the senses, other than sight. 

  • To come to mind; to be suggested; to occur. 

  • To go up; to ascend; to climb. 

  • To appear to move upwards from behind the horizon of a planet as a result of the planet's rotation. 

  • To come; to offer itself. 

  • To move upwards. 

  • To grow upward; to attain a certain height. 

  • To become agitated, opposed, or hostile; to go to war; to take up arms; to rebel. 

  • To cause to go up or ascend. 

How often have the words height and rise occurred in a corpus of books? (source: Google Ngram Viewer )