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 o…

Question

asked Jan 23, 2023 227k views

1 Answer

Pete Richardson · Answer 1 · 2023-01-28T02:59:54+0000

Step-by-step explanation

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

$Hypotenuse^2=Larger\text{ side}^2+Smaller\text{ side}^2$

Plugging in the terms into the expression:

$20^2=Larger\text{ side\textasciicircum2+12}^2$

Subtracting 12^2 to both sides:

$20^2-12^2=Larger\text{ side}^2$

Computing the powers:

$400-144=Larger\text{ side}^2$

Subtracting numbers:

$256=Larger\text{ side}^2$

Applying the square root to both sides:

$√(256)=Larger\text{ side}$

Computing the root:

$16=Larger\text{ side}$

Switching sides:

$Larger\text{ side =16}$

In conclusion, the solution is 16ft