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QUESTION 6 1 POINTA 20-foot string of lights will be attached to the top of a 12-foot pole for a holiday display. How far from the base of the poleshould the end of the string of lights be anchored?20 AProvide your answer below:ftFEEDBACK+O

QUESTION 6 1 POINTA 20foot string of lights will be attached to the top of a 12foot pole for a holiday display How far from the base of the poleshould the end o class=

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EXPLANATION

Since we have the given sides, we can apply the Pythagorean Theorem in order to obtain the needed distance:

[tex]Hypotenuse^2=Larger\text{ side}^2+Smaller\text{ side}^2[/tex]

Plugging in the terms into the expression:

[tex]20^2=Larger\text{ side\textasciicircum2+12}^2[/tex]

Subtracting 12^2 to both sides:

[tex]20^2-12^2=Larger\text{ side}^2[/tex]

Computing the powers:

[tex]400-144=Larger\text{ side}^2[/tex]

Subtracting numbers:

[tex]256=Larger\text{ side}^2[/tex]

Applying the square root to both sides:

[tex]\sqrt{256}=Larger\text{ side}[/tex]

Computing the root:

[tex]16=Larger\text{ side}[/tex]

Switching sides:

[tex]Larger\text{ side =16}[/tex]

In conclusion, the solution is 16ft

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