babblebug123 babblebug123
  • 01-09-2020
  • Mathematics
contestada

The base of 14​-foot ladder is 6 feet from a building. If the ladder reaches the flat​ roof, how tall is the​ building?

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jadenverdejo29
jadenverdejo29 jadenverdejo29
  • 01-09-2020
I wish i could help you
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rebeccathecatt rebeccathecatt
  • 01-09-2020

Answer:

Approximatly 12.65

Step-by-step explanation:

You would use the pythagorean Theoram for this.

[tex]a^{2}+6^{2}=14^{2}[/tex]

[tex]a^{2}+36=196[/tex]

Subtract 36 from both sides:

[tex]a^{2}=160[/tex]

Square 160 to remove the exponent on "a":

[tex]a=\sqrt{160}[/tex]

[tex]a≈ 12.65[/tex]

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