The value of x is 1.56ft.
What is the Pythagoras theorem?
The Pythagoras theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse of the right-angle triangle.
If p is the height, b is the base and h is the hypotenuse then according to the Pythagoras theorem
p²+b²=h²
Here given that the radius of the circle is r=2.1 ft
the perpendicular distance from the center of the circle to the line =1.4ft
that perpendicular line will bisect the line of length 2x.
Foe which each half of the line will be x.
Applying Pythagoras theorem in the right-angle triangle,
1.4²+x²=2.1²
⇒1.96+x²=4.41
⇒x²= 4.41-1.96
⇒x²= 2.45
⇒x= 1.56 ft
Therefore the value of x is 1.56ft.
Learn more about the Pythagoras theorem
here: https://brainly.com/question/343682
#SPJ2
