hfff1236 hfff1236
  • 03-12-2018
  • Mathematics
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The ladder must be placed 3 feet from a wall. The ladder is 12 feet long how far above the ground dose the ladder touch the wall

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alexisvalverde alexisvalverde
  • 03-12-2018

[tex] {a}^{2} + {3}^{2} = {12}^{2} \\ {a}^{2} + 9 = 144 \\ {a}^{2} = 144 - 9 \\ {a}^{2} =135 \\ \sqrt{ {a}^{2} } = \sqrt{135} \\ a = 11.619[/tex]
the top of ladder is approximately 11.6 ft. above the ground.
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