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CalculusQ&A LibraryYou 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.Question

Asked Mar 24, 2020

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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.

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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