As x is perpendicular to the chord(16), we can determined that x cut it's mid point, making the two sides of the chord eqaul, which means one side of the chord is:
16/2 =8
We can then find the radius that touch the chord from it's diameter, by dividing it by two as diameter = radius x 2:
20/2 =10
Then,from the triangle (see photo), we can calculate the value of x:
8^2 + x^2 = 10^2 64 + x^2 = 100 x^2 = 36 x = _/36 x = 6