# 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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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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Step 1

Given:

Base, x=70 ft Let height of the building = h

A rough sketch of the given problem is as follows: Step 2

In the above triangle: Error in h is given as:  Step 3 We get: ...

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