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.
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.
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.
.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.
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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