When the planet Jupiter is at a distance of $$824.7$$ million km from the earth, its angular diameter is measured to be $$35.72$$' ' of arc. The diameter of Jupiter can be calculated as

Question

When the planet Jupiter is at a distance of $$824.7$$ million km from the earth, its angular diameter is measured to be $$35.72$$' ' of arc. The diameter of Jupiter can be calculated as

Infinity Learn · Accepted Answer

Distance of Jupiter from earth (d) $$=$$ $$8247$$ . million $$km=824.7$$×$$106$$  kmAngular diameter of Juptier $$($$θ$$)=35.73$$"But $$10=60$$"$$=(60$$×$$60)$$"$$1$$"$$=(160$$×$$60)0=160$$×$$60$$×π$$180rad=3.1460$$×$$60$$×$$180rad1$$"$$=4.85$$×$$10$$−$$6$$  rad∴ Angular diameter of Jupiter $$($$θ$$)=(35.72$$×$$4.85$$×$$10$$−$$6)radIf$$ D is the diameter of the Jupiter then, angular $$diameter($$θ$$)=Dd=(35.72$$×$$4.85$$×$$10$$−$$6)$$×$$82.47$$×$$106=142873=1.429$$×$$105$$  km

When the planet Jupiter is at a distance of 824.7 million km from the earth, its angular diameter is measured to be $35.72''$ of arc. The diameter of Jupiter can be calculated as

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When the planet Jupiter is at a distance of 824.7 million km from the earth, its angular diameter is measured to be 35.72' ' of arc. The diameter of Jupiter can be calculated as

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When the planet Jupiter is at a distance of 824.7 million km from the earth, its angular diameter is measured to be $35.72''$ of arc. The diameter of Jupiter can be calculated as