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Sam owns a triangular piece of land on which the tax collector wishes to determine the correct property tax. Sam tells the collector that “the first side lies on a straight section
of road and the second side is a stone wall. The wall meets the road at a 24-degree angle.
The third side of the property is formed by a 180-foot-long fence, which meets the wall at a point that is 340 feet from the corner where the wall meets the road.” After a little
thought, the tax collector realizes that Sam’s description of his property is ambiguous,because there are still two possible lengths for the first side. By means of a clear diagram,
explain this situation, and calculate the two possible areas, to the nearest square foot.