SOLUTION: A semielliptic highway has a height of 20 feet and a width of 50 feet. Can a truck of 14 feet high and 10 feet wide drive under the archway without going into the other lane?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A semielliptic highway has a height of 20 feet and a width of 50 feet. Can a truck of 14 feet high and 10 feet wide drive under the archway without going into the other lane?      Log On


   

Question 1087455: A semielliptic highway has a height of 20 feet and a width of 50 feet. Can a truck of 14 feet high and 10 feet wide drive under the archway without going into the other lane?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F25%5E2%2By%5E2%2F20%5E2=1
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Outer edge of the truck would be (11,14) allowing 1 foot from the center divider,
11%5E2%2F25%5E2%2B14%5E2%2F20%5E2=121%2F625%2B196%2F400=1709%2F2500%3C1
So the truck boundary is contained within the ellipse so it will pass under the archway while staying in its lane.
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