Question

Example 2.3 The moon is obenem
two diametrically opposite
o
d
on Earth. The angle subided the
moon by the two directions of obavio
is 1954. Given the diameter of the Banh
be about 1.276 x 10 m. compute the
distance of the moon from the Earth​

Answer 1

Correct Question—

The moon is observed from two diametrically opposite points A and B on earth. The angle subtended at the moon by the two directions of observation is 1° 54' . Given the diameter of the earth to be about 1.276 × 10^7 , compute the distance of the moon from the earth.

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$\bold {\huge {Your ~answer :-}}$

$\bf\huge\boxed{3.848×10^8\:m}$

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From above figure

AB = lθ

Here θ are in radian

l = AB/θ

l = (1.276 × 10^7)/0.03316

l = 3.848×10^8

Since l is very large

Therefore we can write l ≈ CD

CD = 3.848×10^8 m

$\huge{\red{\ddot{\smile}}}$