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14 May, 07:23

What is the linear diameter (in meters) of an object that has an angular diameter of 110 arcseconds and a distance of 25,000 m?

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  1. 14 May, 09:12
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    angle θ = 110 arcsec

    = 110 / 60 arcmin

    = 1.8333 arcmin

    = 1.8333 / 60 degree

    =.030555 degree

    =.030555 x π / 180 radian

    = 5.33 x 10⁻⁴ radian.

    linear diameter = angular diameter in radian x distance

    = 5.33 x 10⁻⁴ x 25000

    = 13.325 m

    linear diameter of object = 13.325 m.
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