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A tunnel through a mountain for a four ...

A tunnel through a mountain for a four lane highway is to have a elliptical opening. The total width of the highway ( not the opening ) is to be 16m , and the height at the edge of the road must be sufficient for a truck 4m high to clear if the highest point of the opening is to be 5m approximately. How wide must the opening be ?

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The correct Answer is:
9.6m
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