To find the angle of elevation from the top of the Washington Monument to a point 2,640 feet away, you can use the tangent function in trigonometry. The angle of elevation ( \theta ) can be calculated using the formula: ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} ), where the opposite side is the height of the monument (555 feet) and the adjacent side is the distance from the monument (2,640 feet). Thus, ( \theta = \tan^{-1}\left(\frac{555}{2640}\right) ), which gives an angle of approximately 12.6 degrees.
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