Question

What is the distance in meters of an object that has an angular diameter of 30 arcseconds and a linear diameter of 10 cm

Answer 1

We have that  the distance in meters of the object is

$d=687.55m$

From the Question we are told that

Angular diameter $d_a= 30 arcseconds$

Linear diameter $d_l= 10 cm=0.10m$

Generally the equation for Linear diameter  is mathematically given as

$d_l=\frac{d_a*d}{206265}$

Therefore

$d=\frac{0.10m*206265}{30}$

$d=687.55m$

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