2007 Cyprus MO/Lyceum/Problem 23

Problem

In the figure above the right section of a parabolic tunnel is presented. Its maximum height is $OC=8\,\mathrm{m}$ and its maximum width is $AB=20\,\mathrm{m}$ . If M is the midpoint of $OB$ , then the height $MK$ of the tunnel at the point $M$ is

$\mathrm{(A) \ }5\,\mathrm{m}\qquad \mathrm{(B) \ } 5.2\,\mathrm{m}\qquad \mathrm{(C) \ } 5.5\,\mathrm{m}\qquad \mathrm{(D) \ } 5.8\,\mathrm{m}\qquad \mathrm{(E) \ } 6\,\mathrm{m}$

Solution

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2007 Cyprus MO, Lyceum (Problems)
Preceded by Problem 22	Followed by Problem 24
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2007 Cyprus MO/Lyceum/Problem 23

Problem

Solution

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