A heavenly body is observed from two diametrically opposite points A and B on the earth. The angle subtended at the heavenly body is 2.9 X 10–4 rad. Given the diameter of Earth to be about 1.28 X 104km. Compute the distance of the heavenly body from the Earth. (A) 2.267 X 10–11 m (B) 4.413 X 107 m (C) 4.413 X 1010 km (D) 4.413 X 1010 m
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Answer:
The parallax angle in radians is: θ=(1+
60
54
)×
180
π
=0.03316 rad
Hence, the distance between moon and earth:
=
θ
Diameter of Earth
=
0.03316
1.276×10
7
m
=3.84×10
8
m
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