Question

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

Answer 1

0.15m

Step-by-step 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