Question

What is the angular diameter (in arcseconds) of an object that has a linear diameter of 5 meters and a distance of 3 km?

Answer 1

343.8

Step-by-step explanation:

Answer 2

angular diameter is 1382.04 arcseconds

Step-by-step explanation:

given data

diameter d = 5 meters

distance D = 3 km = 3000 meter

to find out

angular diameter

solution

we know that angular diameter ( θ ) formula that is diameter / distance

θ = d/D

put here both value to get angular diameter

and we know 1 rad = 360/2π and 1 degree = 60 (arcminutes) and 1 (arcminutes) = 60 (arcseconds)

so

angular diameter = 5 / 3000

angular diameter = 0.00666 radian

angular diameter = 0.0067 × 57.3 = 0.383
`9^(0)`

angular diameter = 0.3839 × 3600

angular diameter = 0.3839 × 3600

angular diameter is 1382.04 arcseconds