You measure the angle from the ground to the top of the building from a point 82 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 $\displaystyle \pm{1}^{\circ}$. 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.

 $\displaystyle \text{error}=\pm$  feet