Suppose there is a truck that is 15 feet tall and 8 feet wide traveling down a two-lane road that is 60ft wide. If the truck stays 1ft from the center in its lane, how tall should a parabolic arch over the road be at its center to allow the truck to pass safely beneath the arch?

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Suppose there is a truck that is 15 feet tall and 8 feet wide traveling down a two-lane road that is 60ft wide. If the truck stays 1ft from the center in its lane, how tall should a parabolic arch over the road be at its center to allow the truck to pass safely beneath the arch?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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