huffordmacy58ow78st
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  • 08-03-2020
  • Mathematics
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A 5–foot string of lights will be attached to the top of a 4–foot pole for a holiday display. How many feet from the base of the pole should the end of the string of lights be anchored?

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sjiang2003 sjiang2003
  • 09-03-2020

Answer:

3

Step-by-step explanation:

The lights and pole form a right triangle. The question gives the hypotenuse as 5 and one side length as 4.

Use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex].

Plug in what you are given: [tex]4^2+b^2=5^2[/tex]

[tex]16+b^2=25[/tex]

[tex]b^2=9[/tex]

b = 3

Or you could recognize that it was a pythagorean triple: 3, 4, 5

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