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The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, t ...
The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the arch is \( 152 \mathrm{~m} \) long and has a height of \( 56 \mathrm{~m} \) at the center. The point \( p \) is located \( 25 \mathrm{~m} \) from the center. Find the height of the arch above point \( p \). Round your answer to the nearest hundredth. Do not round any intermediate computations.