A Bridge with a Parabolic Shape Has an Opening 122

Multiple Choice

A bridge with a parabolic shape has an opening 122 feet wide at the base of the bridge (where the bridge meets the water) , and the height in the center of the bridge is 34 feet. A sailboat whose mast reaches 25 feet above the water is traveling under the bridge 15 feet from the center of the bridge. Will it clear the bridge without scraping its mast? Justify your answer.

A) Yes. The opening height is 25 feet, and the mast is 31.9 feet.
B) No. The opening height is 25 feet, and the mast is 31.9 feet.
C) Yes. The opening height is 31.9 feet, and the mast is 25 feet.
D) Yes. The opening height is 27 feet, and the mast is 25 feet.