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S. 0.10701 When the planet Jupiter is at a distance of824.7 million kilometers from the Earth,its angular diameter is measured to be35.72" of arc. Calculate the diameter ofthe Jupiter. |
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Answer» vnmurty 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 kmmarks as brainlist |
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