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  4. The maximum height that an 8-foot-wide truck can have in order to pass through a parabolic tunnel that is 18 feet high and 12 feet wide, is

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Q. The maximum height that an 8-foot-wide truck can have in order to pass through a parabolic tunnel that is 18 feet high and 12 feet wide, is

Conic Sections

Solution:

Equation of the parabola can be taken as
$2 y=36-x^2$
so that it satisfies $(-6,0),(6,0)$ and $(0,18)$
Now if $x=4$
$2 y=20 \Rightarrow y=10 \Rightarrow \text { C. }$

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