Answer:
x ≈ 3.1 ft
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector, thus
The triangle is right with base = [tex]\frac{1}{2}[/tex] x
Applying Pythagoras' identity to the right triangle, then
([tex]\frac{1}{2}[/tex] x )² + 1.4² = 2.1²
[tex]\frac{1}{4}[/tex] x² + 1.96 = 4.41 ( subtract 1.96 from both sides )
[tex]\frac{1}{4}[/tex] x² = 2.45 ( multiply both sides by 4 )
x² = 9.8 ( take the square root of both sides )
x = [tex]\sqrt{9.8}[/tex] ≈ 3.1 ft ( to the nearest tenth )
