Question

the moon subtends an angle of 57 min at the base line equal to the radius of the earth.What is the distance of the moon from the earth....radius of earth is 6400km​

Answer 1

Explanation:

Let the distance from the earth to the moon equals to D.

Convert the 57' min to Arc second

57 × 60 = 3420

Convert the arc second to radians :

1 s = 4.85 × 10⁻⁶ radians

3420 × 4.85 × `10⁻⁶ = 0.016587

Using the formulae :

D = R / Ф

Where R is the radius of the earth and Ф the arc able in radians.

Doing the substitution we have :

(6.4 × 10⁻⁶) / (0.016587) = 3.85 × 10⁻⁴