2021 Fall AMC 10A Problems/Problem 17
Problem
An architect is building a structure that will place vertical pillars at the vertices of regular hexagon 
, 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 
, 
, and 
are 
, 
, and 
meters, respectively. What is the height, in meters, of the pillar at 
?
$\textbf{(A) 9} \qquad\textbf{(B) 6\sqrt{3}} \qquad\textbf{(C) 8\sqrt{3}} \qquad\textbf{(D) 17} \qquad\textbf{(E) 12\sqrt{3}}$ (Error compiling LaTeX. Unknown error_msg)
