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2021 Fall AMC 10A Problems/Problem 17

Revision as of 18:59, 22 November 2021 by Leo.euler (talk | contribs) (Created page with "== Problem == An architect is building a structure that will place vertical pillars at the vertices of regular hexagon <math>ABCDEF</math>, which is lying horizontally on the...")
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Problem

An architect is building a structure that will place vertical pillars at the vertices of regular hexagon $ABCDEF$, which is lying horizontally on the ground. The six pillars will hold up a flat solar panel that will not be parallel to the ground. The heights of pillars at $A$, $B$, and $C$ are $12$, $9$, and $10$ meters, respectively. What is the height, in meters, of the pillar at $E$?

$\textbf{(A) } \qquad\textbf{(B) } \qquad\textbf{(C) } \qquad\textbf{(D) } \qquad\textbf{(E) }$

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