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A hillshade is a grayscale 3D model of the surface, with the sun's relative position taken into account for shading the image.

A hillshade is a grayscale 3D model of the surface, with the sun's relative position taken into account for shading the image. This function uses the latitude and azimuth properties to specify the sun's position.

Source: ArcGIS Help on Hillshade Function.

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