Shadows One side of a 30-foot-high building (segment CD) casts a shadow over a region that depends on the height of the sun in the sky, which varies over the course of a day. At a certain time of day, the shadow encompasses the triangular region ACD. At another time, when the sun is higher in the sky, the shadow covers only the smaller triangular region BCD. As viewed from A and B, the angles subtended by side CD of the building are and a + ??, respectively. If the distance from the base of the building (point C) to points A and B are 80 feet and 30 feet, respectively, what are the measures of angles ?? and ?? (in radians)?
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