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At the Top of a Radio Signal Tower There Is 35.635.6^{\circ}

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At the top of a radio signal tower there is an antenna with a light on the end of it. From a point on the ground 500 feet from the base of the tower, the angle of elevation to the tip of the light is 35.635.6^{\circ} and the angle of elevation to the bottom of the antenna is 3.43.4^{\circ} What is the height of the antenna, including the light?


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