The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure below, the flat edge of the door mat measures 150 cm and the distance from the center (on the flat edge) to the curved edge
is 54 cm. The distance from point p to the curved
edge is 15 cm. Find the distance from p to the center.
Round your answer to the nearest hundredth. Do not round any intermediate computations.