What is linear diameter of an object that has an angular diameter of 22 arc seconds and a distance of 1400 m

0.15m

Explanation:

Given the following:

angular diameter = 22 arc seconds

Distance = 1400 m

The linear diameter (D) could be calculated using the small angle formular:

Where;

D = (angular size * distance) / 1 radian

Note:

1 radian = 360°/2pi = 360 / (2 * 3.14) = 57.296°

1° = 3600 arc seconds

57.296° * 3600 = 206265.6

Therefore,

D = (22 * 1400) / 206,265.6

D = 30800 / 206,265.6

D = 0.1493220