The moon is observed from two diametrically opposite points A and B on the earth. The angle θ subtended at the moon by the two directions of observation is $$1$$∘$$54$$'. he distance of the moon from the earth is [Given diameter of earth $$=1.276$$×$$107$$ m]

Question

The moon is observed from two diametrically opposite points A and B on the earth. The angle θ subtended at the moon by the two directions of observation is $$1$$∘$$54$$'. he distance of the moon from the earth is [Given diameter of earth $$=1.276$$×$$107$$  m]

Infinity Learn · Accepted Answer

Given,$$1$$∘$$54$$'$$=114$$'$$=(114$$×$$60)$$''×$$(4.85$$×$$10$$−$$6)rad=3.32$$×$$10$$−$$2$$  radSince, $$1$$''$$=4.85$$×$$10$$−$$6$$  radAlso, $$AB=b=1.276$$×$$107$$ $$mD=b$$θ$$D=1.276$$×$$1073.32$$×$$10$$−$$2=3.84$$×$$108$$  m

The moon is observed from two diametrically opposite points A and B on the earth. The angle $θ$ subtended at the moon by the two directions of observation is $1^{\circ} 54' .$ he distance of the moon from the earth is [Given diameter of earth $= 1.276 \times 10^{7} m]$

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The moon is observed from two diametrically opposite points A and B on the earth. The angle θ subtended at the moon by the two directions of observation is 1∘54'. he distance of the moon from the earth is [Given diameter of earth =1.276×107 m]

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The moon is observed from two diametrically opposite points A and B on the earth. The angle $θ$ subtended at the moon by the two directions of observation is $1^{\circ} 54' .$ he distance of the moon from the earth is [Given diameter of earth $= 1.276 \times 10^{7} m]$