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The foot of the leaning against the wall is 5ft away from the wall and its top is 12ft. Above the ground. What is the length of the ladder?

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Problem: The foot of the leaning against the wall is 5ft away from the wall and its top is 12ft above the ground. What is the length of the ladder?

Solution: Apply the Pythagorean Theorem to find the length of the ladder.

  • [tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

  • [tex] {c}^{2} = {5}^{2} + {12}^{2} [/tex]

  • [tex] {c}^{2} = 25 + 144[/tex]

  • [tex] {c}^{2} = 169[/tex]

  • [tex] \sqrt{ {c}^{2} } = \sqrt{169} [/tex]

  • [tex]c = 13[/tex]

- Therefore, the length of the ladder is:

  • [tex] \large \rm Hypotenuse = \boxed{ \rm \green{ \: 13 \: ft \: }}[/tex]

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