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2021 AMC Fall 10A Problem 17

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2021 AMC Fall 10A Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 3 of 5 · about 5 min · position P16-20

An architect is building a structure that will place vertical pillars at the vertices of regular hexagon ABCDEFABCDEF , 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 AA , BB , and CC are 1212 , 99 , and 1010 meters, respectively. What is the height, in meters, of the pillar at EE ?

  1. A)

    99

  2. B)

    636\sqrt{3}

  3. C)

    838\sqrt{3}

  4. D)

    1717

  5. E)

    12312\sqrt{3}

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