Savannahward2004 Savannahward2004
  • 02-09-2020
  • Mathematics
contestada

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

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Jbulmer2862
Jbulmer2862 Jbulmer2862
  • 02-09-2020

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answer: 1 foot

Answer Link
mhanifa
mhanifa mhanifa
  • 02-09-2020

Answer:

5 ft

Step-by-step explanation:

Ladder top, the wall and the horizontal distance will form a right triangle with:

  • Hypotenuse = 13 ft
  • Vertical leg = 12 ft
  • Horizontal leg = x

As per Pythagorean theorem:

  • x² + 12² = 13²
  • x² = 169 - 144
  • x² = 25
  • x =√25
  • x = 5 ft

Answer Link

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