Picture a person with their heels lifted, only the front of the foot touching the floor. Two things happen at the same time in that one posture: the person gets a little taller, and the person gets a lot quieter. Every use of the word can be thought of as one of those two results. Reaching a high shelf or seeing over a crowd is the taller side. Crossing a room without waking anyone is the quieter side.
From the word’s history
Wiktionary records the word as Middle English tipto, equal to tip plus toe, formed the same way as fingertip. The modern uses all sit on that literal picture: the tip of the toe.
Wiktionary 記的來源是中古英語 tipto，等於 tip（尖端）加 toe（腳趾），組法跟 fingertip（指尖）一樣。所以現在的用法都還貼在這個字面畫面上：腳趾的尖端。
Wiktionary etymology supplied in the evidence packet (kaikki:3f6f69a190036ae4:962030383): From Middle English tipto, typto; equivalent to tip + toe. Compare fingertip.
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