What is the linear diameter (in meters) of an object that has an angular diameter of 110 arcseconds and a distance of 25,000 m?

angle θ = 110 arcsec

= 110 / 60 arcmin

= 1.8333 arcmin

= 1.8333 / 60 degree

=.030555 degree

=.030555 x π / 180 radian

= 5.33 x 10⁻⁴ radian.

linear diameter = angular diameter in radian x distance

= 5.33 x 10⁻⁴ x 25000

= 13.325 m

linear diameter of object = 13.325 m.