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Nina [5.8K]
3 years ago
5

a ladder is leaning against a building. the top of the ladder is 21 feet up the wall. the bottom of the ladder is 20 feet away f

rom the base of the building. how long is the ladder
Mathematics
2 answers:
Nookie1986 [14]3 years ago
8 0

Answer:

29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of the ladder

{20}^{2}  +  {21}^{2}  = c {}^{2}

400 + 441 =  {c}^{2}

841 =  {c}^{2}

c = 29

The answer is 29

omeli [17]3 years ago
4 0

Answer:

19 ft .

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Height = 21 ft .
  • Base = 20ft.

<u>Using </u><u>Pythagoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>

  • p² + b² = h²
  • 20² + 21² = h²
  • 400 + 441 = h²
  • h² = 841
  • h = √841
  • h = ± 19 ft
  • h = 19 ft .
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