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Pythagorean theorem challenge

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A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters.
A triangle and a rectangle share a side that is eleven units long. The triangle has a height of x units. The slanted side of the triangle is sixty-one units. The rectangle has the width of five units.
How high off the ground is the top of the monument?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4