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Q.

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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a

3.84×108  m

b

1.5×103  m

c

2.81×104  m

d

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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