(Solved): The arch of the bridge below is half an ellipker. a "semi-ellipse". As shown in the figure below, t ...

The arch of the bridge below is half an ellipker. a "semi-ellipse". As shown in the figure below, the arch is $166\mathrm{m}$ long and has a height of $66\mathrm{m}$ at the center. The height of the arch is $35\mathrm{m}$ at point $p$. Find the distance from $p$ to the center. Round your answer to the nearest hundredth. Do not round any intermediate computations.