Real-World Applicationshard
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A surveyor needs to find the distance across a canyon. From point P on one side, tower A on the opposite side is 850 meters away, and tower B is 920 meters away. The angle ∠APB = 78°. After resurveying, it's determined that towers A and B are 1,200 meters apart (measured along the opposite cliff). The surveyor needs to know the distance from point P perpendicular to line AB. Using the Law of Cosines, which value is closest to this perpendicular distance?
A surveyor needs to find the distance across a canyon. From point P on one side, tower A on the opposite side is 850 meters away, and tower B is 920 meters away. The angle ∠APB = 78°. After resurveying, it's determined that towers A and B are 1,200 meters apart (measured along the opposite cliff). The surveyor needs to know the distance from point P perpendicular to line AB. Using the Law of Cosines, which value is closest to this perpendicular distance?