That is the principle of a sextant.
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Both height and length are linear measurements. The units of measure are the same. Height -- not heighth -- is synonymous with altitude, and can be thought of as the distance above the ground, as in the height of a skyscraper or the height of a tall tree (or any tree, for that matter).
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If this is a horizontal area, it must be its height.
You can use a measuring tape, a ruler, or a yardstick to measure your height.
It is pounds. An inch is the measuring unit for height. A pound is the measuring unit for weight. The logic is as follows. height, weight -> (measuring unit for height), (measuring unit for weight) Some similar examples, If it were "height, distance and inches." the missing word would be "miles" If it were "height, age and inches." the missing word would be "years"