Question

good afternoon everyone!!


please solve the above question as fast as possible!

please do not copy it from Google....


thanks :-)​

Answer 1

Angular diameter is the angle subtended by the diameter of the planet at the eye..

let the angular diameter be Ф.

Let the eye be at A,  the center of the planet be O, and the diameter of the planet perpendicular to the line AO be BOC.

   Ф = angular diameter = angle CAB = 2 * angle OAC

     OB = OC = radius of the planet.

       AO = 824.7 million km

   tan (Ф/2) =   OB / OA

  Diameter of Jupiter = 2 * OB = 2 * 824.7 * 10⁶ * tan [ 35.72 / (2 * 60 *  60) ]⁰

                     =   142, 817.8 km