You measure the angle from the ground to the top of the building from a point 70 feet away from the base of the building. The true value of the angle is 60 degrees, but your measurement may be in error by as much as ±2∘. Assuming level ground and a plumb building, use differentials to approximate the maximum possible error in calculating the height of the building using your measurement of the angle. Round your answer to three decimal places.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 34A: Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or...
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You measure the angle from the ground to the top of the building from a point 70 feet away from the base of the building. The true value of the angle is 60 degrees, but your measurement may be in error by as much as ±2∘. Assuming level ground and a plumb building, use differentials to approximate the maximum possible error in calculating the height of the building using your measurement of the angle. Round your answer to three decimal places.

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