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A triangular building lot has 2 sides of lengths 1171 feet and 2193 feet. A surveyor has found the angle between the two given sides to be 50*. If an acre of land is 43,560 square feet, how many acres is the lot? Round your answer to the nearest tenth of an acre.

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Answer:

29.5 acres

Step-by-step explanation:

Area of triangular lot:  [tex]\frac{1171 + 2193}{2}[/tex] = 1,284,001.5

Number of acres:   [tex]\frac{1284001.5}{43560}[/tex] = 29.4766

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