By utilizing geometric and astronomical knowledge, a model for the length of a solar shadow in relation to its geographical location and object height is established. The variations of shadow length concerning various parameters are analyzed. The model incorporates geographical latitude, longitude, day of the year, time, etc., to calculate the solar altitude angle and, in conjunction with object height, establishes a model for calculating object projection length. Finally, using the provided data in the appendix, the curve of solar shadow length variation at a given time is obtained.
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Yang et al. (2024) studied this question.
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