The distance of the moon from the earth is about 60 times the radius of the earth. What will be diameter of the earth (approximately in degrees) as seen from the moon ?

Question

The distance of the moon from the earth is about 60 times the radius of the earth. What will be diameter of the earth (approximately in degrees) as seen from the moon ? (A) 1° (B) 2° (C) 4° (D) 6°

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/7fc4b582d3b1319371e73ca73e51a47c-.jpeg" /> From figure, θ=(2 RE/60 RE)=(1/30) rad=(1/30) × (180°/π) ≈ 2° ∴ Diameter of the earth as seen from the moon is about 2°.

Q. The distance of the moon from the earth is about $60$ times the radius of the earth. What will be diameter of the earth (approximately in degrees) as seen from the moon ?

$1^{\circ}$

$2^{\circ}$

$4^{\circ}$

$6^{\circ}$

From figure,
$θ = \frac{2 R _{E}}{60 R _{E}} = \frac{1}{30} r a d = \frac{1}{30} \times \frac{18 0 ^{\circ}}{π} \approx 2^{\circ}$
$∴$ Diameter of the earth as seen from the moon is about $2^{\circ}$ .

Q. The distance of the moon from the earth is about 60 times the radius of the earth. What will be diameter of the earth (approximately in degrees) as seen from the moon ?

1∘

2∘

4∘

6∘