Answer: [tex]0.69\°[/tex]
Explanation:
The angular diameter [tex]\delta[/tex] of a spherical object is given by the following formula:
[tex]\delta=2 sin^{-1}(\frac{d}{2D})[/tex]
Where:
[tex]d=16 m[/tex] is the actual diameter
[tex]D=1338 m[/tex] is the distance to the spherical object
Hence:
[tex]\delta=2 sin^{-1}(\frac{16 m}{2(1338 m)})[/tex]
[tex]\delta=0.685\° \approx 0.69\°[/tex] This is the angular diameter