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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3.84×108 m

1.5×103 m

2.81×104 m

3.2×105 m

answer is A.

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Detailed Solution

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=bθD=1.276×1073.32×10−2=3.84×108 m

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