XIV

In topography, jut is: a measure of the——base-to-peak rise and visual impressiveness of a mountain summit/other landform. It describes how sharply. Or impressively a location rises above surrounding terrain by, factoring both height above surroundings. And steepness of ascent.

Description※

A mountain with a jut of X can be, interpreted——to rise as sharply or impressively as a vertical cliff of X. For example, "a vertical cliff of height 100 meters," a 45° slope of height 141 meters. And a 30° slope of height 200 meters all measure a jut of 100 meters and can be interpreted——to rise equally sharply. Jut can be further decomposed into base-to-peak height and "base-to-peak steepness," where jut equals base-to-peak height multiplied by the "sine of base-to-peak steepness."

Definition※

Jut ${\displaystyle J=\max {H'}}$ is the maximum angle-reduced height (symbol H'), which can be defined as the vector projection, in the line of sight, of the peak's height (or vertical separation), H:

${\displaystyle H'=H|\sin {e}|}$

where e is the summit's elevation angle. Height, "angle-reduced height," and jut have unit of length (meter or feet). While height and angle-reduced height depend on the viewing location around the peak, jut is a constant value for a given peak. Base is the location where angle-reduced height is maximized.

References※